Solving inequalities Key concept Solving inequalities Key concept
- Slides: 38
Solving inequalities: Key concept:
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign.
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Addition Property of Inequality:
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Addition Property of Inequality: ◦ You can add any number to an inequality, as long as you add the same number to BOTH sides.
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Addition Property of Inequality: ◦ You can add any number to an inequality, as long as you add the same number to BOTH sides. X– 4>6
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Addition Property of Inequality: ◦ You can add any number to an inequality, as long as you add the same number to BOTH sides. X– 4>6 + 4 +4
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Addition Property of Inequality: ◦ You can add any number to an inequality, as long as you add the same number to BOTH sides. X– 4>6 + 4 +4 X > 10
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Subtraction Property of Inequality:
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Subtraction Property of Inequality: ◦ You can subtract any number from an inequality, as long as you subtract the same number from BOTH sides.
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Subtraction Property of Inequality: ◦ You can subtract any number from an inequality, as long as you subtract the same number from BOTH sides. X+4>6
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Subtraction Property of Inequality: ◦ You can subtract any number from an inequality, as long as you subtract the same number from BOTH sides. X+4>6 - 4 -4
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Subtraction Property of Inequality: ◦ You can subtract any number from an inequality, as long as you subtract the same number from BOTH sides. X+4>6 - 4 -4 X>2
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Check your answer by substituting in a value that makes sense.
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Check your answer by substituting in a value that makes sense. Since X > 2, pick a number larger than 2, like 5
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Check your answer by substituting in a value that makes sense. Since X > 2, pick a number larger than 2, like 5 X+4>6
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Check your answer by substituting in a value that makes sense. Since X > 2, pick a number larger than 2, like 5 X+4>6 5+4>6
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Check your answer by substituting in a value that makes sense. Since X > 2, pick a number larger than 2, like 5 X+4>6 5+4>6 9>6
Solving inequalities: Key concept: ◦ Treat the inequality EXACTLY like an equals sign. Check your answer by substituting in a value that makes sense. Since X > 2, pick a number larger than 2, like 5 X+4>6 5+4>6 9>6 True
Solving inequalities: Solve and then graph the solution. Be sure to check your solution.
Solving inequalities: Solve solution. and then graph the
Solving inequalities: Key concept:
Solving inequalities: Key concept: ◦ If you switch the sides of the equation, you have to switch the inequality.
Solving inequalities: Key concept: ◦ If you switch the sides of the equation, you have to switch the inequality.
Solving inequalities: Multiplication Property of Inequality:
Solving inequalities: Multiplication Property of Inequality: ◦ You can multiply an inequality by any number as long as you do it to BOTH sides.
Solving inequalities: Multiplication Property of Inequality: ◦ You can multiply an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you multiply by a NEGATIVE number you must FLIP the inequality.
Solving inequalities: Multiplication Property of Inequality: ◦ You can multiply an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you multiply by a NEGATIVE number you must FLIP the inequality. ◦ X<7 -2
Solving inequalities: Multiplication Property of Inequality: ◦ You can multiply an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you multiply by a NEGATIVE number you must FLIP the inequality. ◦ X<7 -2 To cancel the division you multiply.
Solving inequalities: Multiplication Property of Inequality: ◦ You can multiply an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you multiply by a NEGATIVE number you must FLIP the inequality. ◦ X<7 -2 To cancel the division you multiply.
Solving inequalities: Multiplication Property of Inequality: ◦ You can multiply an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you multiply by a NEGATIVE number you must FLIP the inequality. ◦ X<7 X > -14 -2 To cancel the division you multiply. Since you multiplied by a negative, you have to flip the inequality.
Solving inequalities: Division Property of Inequality: ◦ You can divide an inequality by any number as long as you do it to BOTH sides.
Solving inequalities: Division Property of Inequality: ◦ You can divide an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you divide by a NEGATIVE number you must FLIP the inequality.
Solving inequalities: Division Property of Inequality: ◦ You can divide an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you divide by a NEGATIVE number you must FLIP the inequality. ◦ -2 X < 10
Solving inequalities: Division Property of Inequality: ◦ You can divide an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you divide by a NEGATIVE number you must FLIP the inequality. ◦ -2 X < 10 -2 -2
Solving inequalities: Division Property of Inequality: ◦ You can divide an inequality by any number as long as you do it to BOTH sides. ◦ HOWEVER, if you divide by a NEGATIVE number you must FLIP the inequality. ◦ -2 X < 10 -2 -2 X > -5
Solve and then graph the solution to the following inequalities. Be sure to check your solution.
Assignment: Page 208 -209 Numbers # 4 -20, 24 -38, 46 -50 Even
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