Multi-Step Inequalities
-3(4x-2)>18
x < -1
Lisa is cooking muffins. The recipe calls for more than 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
x + 2 > 7; x > 5
2(4y - 3) > -22
y > -2
After paying $5.00 for a salad, Taylor has no more than $27.00 left. How much money did she have before buying the salad?
x - 5 ≤ 27; x ≤ 32
-2(x + 3) > 4
x < -5
x < 8
closed circle at 8, pointing left
How many t-shirts can Banning buy with at least $40 if each t-shirt costs $8.00?
8x ≥ 40; x ≥ 5
7t - 4 + 6t > -30
t > -2
x < -4
open circle at -4, pointing left
Last Friday Marissa had $22.50. Over the weekend she received some money for cleaning. She now has over $32.00. How much money did she get for cleaning?
x + 22.50 > 32; x > 9.50
10x - 8 - 7x < 7
x < 5
19 < -2x + 3
What is -8 > x
x ≥ 8
closed circle pointing right
Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?
4.5x ≤ 18; x ≤ 4