Intro to Algebraic Inequalities

Leela needs at least $75 to buy a new pair of shoes. Which number line represents how much money Leela needs?

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The Garcia family spent more than $500 at a theme park while on vacation. Which number line best represents this situation?

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Which inequality represents the statement, " 14 more than a number is at least 17."

• n + 14 ≥ 17

• n - 14 ≥ 17

• n + 14 > 17

• n + 14 ≤ 17

Which value is a possible solution for the inequality, " m is less than -4.6."

• -4.0

• -3.75

• -4 ¹/₂

• -4 ³/₄

Which graph best represents the inequality statement, " a number is no more than 15."

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Mrs. Boleware has a goal of running at least 14 miles. She runs at a rate of 6 miles per hour. Which inequality can be used to find "h," the number of hours Mrs. Boleware should walk in order to meet or exceed her goal?

• 6h ≥ 14

• 6h ≤ 14

• h + 6 < 14

• h + 6 > 14

Which inequality represents the situation: A cruise ship can carry at most 3500 passengers.

P= the number of passengers the ship can carry.

• 3500 ≤ p

• 3500 ≥ p

• 3500 < p

• 3500 > p

Solve the inequality: "Five more than a number is less than -17."

• n < -17

• n < -12

• n < -22

• n > 5

Jaclyn needs at least $350 for a plane ticket. She saves $25 each week. Which number line represents, "w," the number of weeks she will need to save for the plane ticket?

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Billy wrote the inequality "^x/₁₆ ≤ 6" on the board. Which situation is best represented by this inequality?

• Billy divided "x" pieces of gum among 16 students, and each student received fewer than 6 pieces of gum.

• Billy placed "x" cards in 16 stacks, and there were no more than 6 cards in each stack."

• Billy separated "x" shirts into 6 stack, and each stack had at least 16 shirts.

• Billy shared 16 markers with "x"classmates, and each classmate had fewer than 6 markers."