Goals v Graph linear inequalities on a number

Goals: v Graph linear inequalities on a number line. v Solve linear inequalities by adding and subtracting. v Using linear inequalities to solve real life problems. Eligible Content: v A 1. 1. 3. 1. 2 / A 1. 1. 3

� Inequality – any problem containing <, >, ≤ or ≥. � Graph – all numbers on a number line that will work in the inequality. � Solve – get the variable alone.

Graph: x<2 x ≤ -2 x>-4 x≥ 3

�< and > draw an open circle: �≤ and ≥ draw a closed circle: � Shade in the direction the inequality symbol points. �< and ≤ shade left �> and ≥ shade right

Graph each inequality: 1. x < 6 2. x ≥ -4 3. 4 < x 4. x ≤ -2

x + 7 < 12 -7 -7 x < 5 x - 2 ≥ 15 +2 +2 x ≥ 17

Solve each linear inequality: 1. x + 3 < 4 x<1 2. x – 9 ≥ 4 x ≥ 13 3. 6 < x + 3 x>3 4. -10 > 8 + x x < -18 5. 3 x + 6 < 4 x x>6

Solve k – 4 < 10. A. k > 14 B. k < 14 C. k < 6 D. k > 6

Solve the inequality m – 4 – 8. A. m 4 B. m – 12 C. m – 4 D. m – 8

Solve 3 p – 6 ≥ 4 p. Graph the solution. A. p ≤ – 6 B. p ≤ – 6 C. p ≥ – 6 D. p ≥ – 6

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Megan wants to buy season passes to two theme parks. If one season pass costs $54. 99 and Megan has $100 to spend on both passes, the second season pass must cost no more than what amount? 54. 99 + x ≤ 100 x ≤ 45. 01 Less than $45. 01

Jeremy is taking two of his friends out for pancakes. If he spends $17. 55 on their meals and has $26 to spend in total, Jeremy’s pancakes must cost no more than what amount? 17. 55 + x ≤ 26 x ≤ 8. 45 Less than $8. 45

The temperature for a lizard cage has to be at least 82°F. Currently the temperature is 62. 5°F. How much warmer does the cage need to be? 62. 5 + x ≥ 82 x ≥ 19. 5 At least 19. 5°F warmer

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