Solving OneStep Inequalities Inequality mathematical sentence that uses

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Solving One-Step Inequalities Inequality- mathematical sentence that uses the symbols < , >, ≤

Solving One-Step Inequalities Inequality- mathematical sentence that uses the symbols < , >, ≤ , ≥ to compare two amounts. Solution Set- the set of values that make the inequality true.

Copy this table into your notes. Symbol Meaning Graph < Less than Open circle

Copy this table into your notes. Symbol Meaning Graph < Less than Open circle > Greater than Open circle ≤ Less than or equal to Closed circle ≥ Greater than or equal to Closed circle

Inequalities and their graphs When graphing inequalities use o Open circle used for <,

Inequalities and their graphs When graphing inequalities use o Open circle used for <, > • Shaded circle used for >, <

Inequalities and their graphs-answers When graphing inequalities use o • Open circle used for

Inequalities and their graphs-answers When graphing inequalities use o • Open circle used for <, > Shaded circle used for >, <

Inequalities and their graphs

Inequalities and their graphs

Inequalities and their graphs-answers x < -7 x<2 x > -11 x > -3

Inequalities and their graphs-answers x < -7 x<2 x > -11 x > -3

Graph x > 2 Where do we put the circle ? In which direction

Graph x > 2 Where do we put the circle ? In which direction does the arrow go? Think…what could you plug in for x that is greater than 2?

What about x ≤ 2 ……is 2 ≤ 2 This is why we graph

What about x ≤ 2 ……is 2 ≤ 2 This is why we graph with a closed circle. The closed circle tells us that 2 is included. Which way does the arrow go?

What about x ≥ 2 ……is 2 ≥ 2 Where do we put the

What about x ≥ 2 ……is 2 ≥ 2 Where do we put the circle ? Which way does the arrow go?

Your Turn 1. Write the inequality above the number line. 2. Graph the inequality.

Your Turn 1. Write the inequality above the number line. 2. Graph the inequality. 1) 2) 3) 4) 5) 6) x >8 x< 7 x≤ 4 x ≥ -3 x < -5 x≤ 6

Solving One-Step Inequalities Examples: 1. x + 8 > 19 2. -26 > y

Solving One-Step Inequalities Examples: 1. x + 8 > 19 2. -26 > y + 14 3. m + 3 > 6 4. -5 < x -6 5. 4 + x < -2 6. 13 + y > 13

Solving One-Step Inequalities - ans Examples: 1. x + 8 > 19 2. -26

Solving One-Step Inequalities - ans Examples: 1. x + 8 > 19 2. -26 > y + 14 x > 11 y < -40 3. m + 3 > 6 4. -5 < x -6 m<3 x>1 1. 6. 13 + y > 13 y > 0 5. 4 + x < -2 x< -6

Solving One-Step Inequalities Examples: 1. x - 15 < 3 2. M - 13

Solving One-Step Inequalities Examples: 1. x - 15 < 3 2. M - 13 > 29 3. V - 4 < 7 4. T - 5 > 11 5. -16 < y - 14 6. X - 9 > -11

Solving One-Step Inequalities - ans Examples: 1. x - 15 < 3 x <

Solving One-Step Inequalities - ans Examples: 1. x - 15 < 3 x < 18 3. V - 4 < 7 v < 11 1. 2. M - 13 > 29 m > 42 4. T - 5 > 11 T > 16 5. -16 < y - 14 y > -2 6. X - 9 > -11 x > -2

Solving One-Step Inequalities by dividing and multiplying When dividing or multiplying by a negative

Solving One-Step Inequalities by dividing and multiplying When dividing or multiplying by a negative number you must reverse (flip) the inequality sign