Exploring Adding and Subtracting Rational Expressions

This video tutorial covers translating and solving equations, focusing on inequalities. It begins with an introduction to the topic, followed by several example problems that demonstrate how to solve inequalities. The video then transitions to solving word problems using inequalities, providing practical applications of the concepts discussed. Each problem is broken down step-by-step, ensuring a clear understanding of the methods used to find solutions.

What is the smallest value of x that satisfies the inequality 9x - 9 ≥ 36?

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If the sum of 4 and a number divided by 2 is less than -6, what is the inequality for the number?

• x < -16

• x > -12

• x > -16

• x < -12

What is the maximum value of w that satisfies the inequality 3w - 5 ≤ 16?

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If 8 minus 6 times a number is at least 68, what is the inequality for the number?

• x ≥ 10

• x ≤ 10

• x ≥ -10

• x ≤ -10

What is the inequality for the number if 8 plus 1/4 of a number is less than or equal to 6?

• x ≥ -2

• x ≥ -8

• x ≤ -8

• x ≤ -2

If Peter spent half of his money on coffee and added $10, and now has at least $40, what is the minimum amount he started with?

• $40

• $30

• $60

• $50

Megan wants to spend no more than $300 on a party. If she spent $75 on food and decorations cost $10 each, how many decorations can she buy?

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A moving truck can carry no more than 1480 pounds. If it already has 640 pounds and each box weighs 70 pounds, how many more boxes can be added?

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Nancy has $240 and wants to buy $15 video games while keeping at least $120 in the bank. How many games can she buy?

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Melissa has $15 for a taxi ride that charges $2.35 plus $0.55 per mile. How many miles can she travel?

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