Inequalities.

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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 > 10 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 10 10 X > 14.4 Peachey must design at least 15 planners.

Solve and Graph: -15 > t – 4

Solve and Graph: -15 > t – 4 + 4 + 4 -11 > t t< -11 + 4 + 4 -11 > t t< -11 - 12 -11 -10

Solve and Graph: 8p < - 40

Solve and Graph: 8p < - 40 8 8 p < -5 - 6 -5 - 4

Solve and Graph: x + 8 > 4x

Solve and Graph: x + 8 > 4x - x - x 8 > 4 x 4 4 2 > x 4 4 2 > x X < 2 1 2 3

Solve and Graph: - 4z + 10 < -27 + z

Solve and Graph: 4z + 10 < -27 + z + 4z + 4z 10 < -27 + 5z + 27 + 27 37 < 5z 5 5 7.4 < z Z > 7.4 7.3 7.4 7.5

Solve and Graph: 4(2 – x) > 18

Solve and Graph: 4(2 – x) > 18 8 – 4x > 18 - 8 -8 - 4x > 10 - 8 -8 - 4x > 10 -4 -4 x < -2.5 -2.6 - 2.5 -2.4

Solve and Graph: c 2 + 5 > 8

Solve and Graph: c 2 + 5 > 8 - 5 -5 (2) c 2 > 3 ( 2) c > 6 - 5 -5 (2) c 2 > 3 ( 2) c > 6 5 6 7