One step
Solve and graph 3x<9
x < 3 ; open circle on 3 filled in to the left.
Solve and graph 6y-5 ≥ 7
y ≥ 2 ; closed circle on 2 filled in to the right
graph y ≤ 3
closed circle to the left
The largest number of people allowed on the bus is 80. Write an inequality that represents this situation.
x ≤ 80
Is x = -3 a solution to the inequality -4(x - 2) > 12?
yes
Solve and graph k/4 ≤ -4
x ≤ -16 ; closed circle on -16 filled in to the left.
Solve and graph -4x+3 ≤ 11
x ≥ -2 ; closed cirlce on -2 filled in to the right
graph y < -6
open circle to the left
Three times a number plus five is at most 26. Write and solve.
3x + 5 ≤ 26 ; x ≤ 7
is a = 15 a solution to the inequality -4a + 12 > -2a + 17
no
Solve and graph -5j ≥ 10
j ≤ -2 ; closed circle on -2 filled in to the left.
k/3 + 6 <7
k < 3 ; open circle on 3 filled in to the right
graph y > -2
open to the right
Write and solve the inequality: 2/3 of a number b is no more than 12.
2/3b ≤ 12, b ≤ 18
n < 3
Solve and graph 3 > -3/7d
d > -7 ; open circle on -7 filled in to the right.
5 (4-y) < 25
y> -1; open circle on -1 and a open circle on -1 filled in to the right
graph y ≥ -8
closed, right
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.
69.95 + x ≥ 75, x ≥ 5.05
-3n- 4 > 4n + 10
n <-2
Solve and graph x/3 ≥ 8.7
b ≥ 26.1 ; closed circle on -26.1 filled in to the right.
Solve and graph 12(x-2) > 3(4x-8)
no solution
graph 2y < -10
open to the left
You are saving $12 per week to purchase a new kayak. Prices start at $300 and go up. Your parents give you $144 to help you purchase your kayak. Write and solve an inequality to find the number of weeks you need to save to purchase the kayak.
144 +12w ≥ 13 , w ≥ 13
Solve the inequality: 6(t-1) ≤ 2 (3t -5)
no solution