# Inequalities.

## Presentation on theme: "Inequalities."— Presentation transcript:

Inequalities

Translate: Eight less than a number is at least 9

Translate: Eight less than a number is at least 9 n – 8 > 9

Translate: Five more than a number is at most 44

Translate: Five more than a number is at most 44 n + 5 < 44

Translate: After depositing \$30, Amy had more than \$300 in her savings account.

Translate: After depositing \$30, Amy had more than \$300 in her savings account. x + 30 > 300

Translate: After withdrawing \$40, Erin had less than \$ 10 in her savings.

Translate: After withdrawing \$40, Erin had less than \$ 10 in her savings. X – 40 < 10

Word Problem: Dylan works for “Dog Scoopers.” He charges \$20 for each yard he cleans. Write and solve an inequality that can be used to find out how many lawns he must clean in a week to earn at least \$ 200.

Word Problem: Dylan works for “Dog Scoopers.” He charges \$20 for each yard he cleans. Write and solve an inequality that can be used to find out how many lawns he must clean in a week to earn at least \$ 200. X= number of lawns cleaned 20x > 200 20 X > Dylan needs to clean at least 10 lawns.

Word Problem: Peachey designs planners for \$10 a planner. Write and solve an inequality for the number of planners she must design to earn at least \$144.

Word Problem: Peachey designs planners for \$10 a planner. Write and solve an inequality for the number of planners she must design to earn at least \$144. X = number of planners designed 10 x > 144 X > Peachey must design at least planners.

Solve and Graph: -15 > t – 4

Solve and Graph: -15 > t – 4 + 4 + 4 -11 > t t< -11
-11 > t t< -11

Solve and Graph: 8p < - 40

Solve and Graph: 8p < - 40 p < -5

Solve and Graph: x + 8 > 4x

Solve and Graph: x + 8 > 4x - x - x 8 > 4 x 4 4 2 > x
2 > x X < 2

Solve and Graph: - 4z + 10 < z

Solve and Graph: 4z + 10 < -27 + z + 4z + 4z 10 < -27 + 5z
37 < 5z 7.4 < z Z > 7.4

Solve and Graph: 4(2 – x) > 18

Solve and Graph: 4(2 – x) > 18 8 – 4x > 18 - 8 -8 - 4x > 10
- 4x > 10 x < -2.5

Solve and Graph: c 2 + 5 > 8

Solve and Graph: c 2 + 5 > 8 - 5 -5 (2) c 2 > 3 ( 2) c > 6
(2) c 2 > 3 ( 2) c > 6

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