Writing Inequalities
Graph the inequality on a number line x < -1
Open circle, pointing left
Solve the inequality.
b + 7 > 8
b > 1
Solve the inequality.
6x > 54
x > 9
Tell whether the given value is a solution of the inequality. (x = 9)
x + 1 > 10
10 > 10 NO
Write as an inequality: a number w plus 7 is fewer than 45
w + 7 < 45
Graph the inequality on a number line x ≥ 4
Closed circle, pointing right
Solve the inequality.
m + 12 ≤ 34
m ≤ 22
Solve the inequality.
p ÷ 5 < 3
p < 15
Tell whether the given value is a solution of the inequality.
(h = -5)
5h > -15
-25 > -15 NO
Coach Williams wants to spend no more than $750 on new football pads. The team has raised $245. Write and solve an inequality to represent the maximum amount the team must still raise.
245 + w ≤ 750
w ≤ 505
Graph the inequality on a number line. s ≤ -4
Closed circle, pointing left
Solve the inequality.
x - 3 > 7
x > 10
Solve the inequality.
x ÷ 3 > 15
x > 45
Tell whether the given value is a solution of the inequality.
(x = 18)
x ÷ 6 > -4
3 > -4 YES
Mrs. Gill has $58 to spend on movie tickets. If tickets cost $7.25 each write and solve an inequality to represent the maximum number of tickets she can buy.
7.25t ≤ 58
t ≤ 8
Graph the inequality on a number line 4 < x
Open circle, pointing right
Solve the inequality.
3 ≥ x - 4.5
7.5 ≥ x
Solve the inequality.
4x ≥ 16
x ≥ 4
True or False When you are solving an inequality you should use inverse operations
True
Mrs. Creasman has a jar of beads. She used 43 beads to make a bracelet. She has at least 36 beads leftover. Write and solve an inequality to represent the minimum number of beads she could have started with.
b - 43 ≥ 36
b ≥ 79
Graph the inequality on a number line. x ≥ -8
Closed circle, pointing right
Solve the inequality.
x - 4.7 ≥ 1.6
x ≥ 6.3
Solve the inequality.
6 < 2x
3 < x
What symbol should you put when you see the word no less than?
Greater than or equal to