Graphing Inequalities
Graph the inequality x - 9 ≥ -7
x ≥ 2 (see graph)
41 + g > 27
g>-14
Name this sign, and say whether you use an open or closed circle to graph: >
Greater than, open circle
4(g - 3) + 1 ≤ 5
g ≤ 4
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
Graph the inequality x + 9 ≤ 15
x ≤ 6 (see graph)
w>5
Name this sign, and say whether you use an open or closed circle to graph: <
Less than, open circle
2(-a - 8) - 15 < 9
a > -20
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?
At least 46 pastries
2.50p ≥ 115
p ≥ 46
Solve & graph. b/3 > -8
b > -24 (see graph)
9 + c/6 ≤ 17
c ≤ 48
Name this sign, and say whether you use an open or closed circle to graph: ≥
Greater than or equal to, closed circle
3(2x+4)−5x ≤ 28
x≤16
Manny needs to buy 5 work shirt that are each the same price. He can spend no more than $50. What is the maximum amount that each shirt can cost?
5x ≤ 50
x ≤ 10