Graphing Inequalities
Graph the inequality x ≥ -7
On a number line close circle on -7 and moving to the right.
Solve. 41 + g > 27
What is g > -14?
Solve. n÷5 ≤ 1.6
What is n ≤ 8?
Solve. 13 + 4c > 3(c + 13)
What is c > 26
Solve for x. 3(-3a + 4) ≤ -9a + 12
What is all real numbers?
Graph the inequality x ≤ 15
Closed dot on 15 and moving to the left
Solve. w + 23 ≥ -18
What is w ≥ -41
Solve. b÷3 > -8
What is b > -24?
Solve. 4(g - 3) + 1 ≤ 5
What is g ≤ 4?
3(5x – 2) – 6x > 3(3x + 2)
What is no solution?
Graph this inequality x < 3
Open circle on 3 and moving to the left
Solve. a + 15 ≤ 9
What is a ≤ -6?
Solve. s ÷ (-12) ≤ -5
What is s ≥ 60?
Solve. 2(-a - 8) - 15 < 9
What is a > -20?
4 - 8x < 13x + 2(2 +x)
What is x < 0?
Graph this inequality x ≤ 7
close circle on 7 and moving to the left
Solve. z + 27 < 16
What is z < -11?
The French Club is sponsoring a bake sale. If their goal is to raise at least $115, how many pastries must they sell at $2.50 each in order to meet that goal?
What is at least 46 pastries.
2.50p ≥ 115
p ≥ 46
Solve. 9 + c/6 ≤ 17
What is c ≤ 48?
Solve: 10x - 10 - 7x > 3x - 2
What is no solution?
Graph the inequality x > 20.
open circle on 20 and moving to the right
Solve. -3 ≤ t + 17 < 20
What is -20 ≤ t < 3?
A taco stand sells tacos for $2.25 each. The stand's expenses for the day are $300. How many tacos do they need to sell in a day in order to make a profit?
What is at least 134 tacos?
2.25n > 300
n > 133.33
Solve. (1/3)p - 8 ≥ 4 + p
What is p ≤ -18?
Manny needs to buy 5 work shirts that are each the same price. He can use a $20 gift certificate, on top of that he can spend no more than $50. What is the maximum amount that each shirt can cost?
What is t ≤ $14?