Solving Inequalities with Addition and Subtraction

This video tutorial covers pre-algebra lesson 6-4, focusing on solving inequalities using addition or subtraction. It provides examples with real-life scenarios, such as waiting times and weight limits, to illustrate how inequalities can be applied. The lesson explains how to solve inequalities by isolating variables and using number lines for graphical representation. It concludes with a summary of the key concepts and a preview of the next lesson on solving inequalities using multiplication or division.

Who anticipates a longer wait time at the bus stop?

• Selena

• Neither

• Martin

• Both have the same wait time

If Selena and Martin both wait 10 minutes, whose wait time was closer to their actual wait time?

• Neither

• Both were equally close

• Selena

• Martin

What is the maximum weight Raul's second bag can be if his first bag weighs 38 pounds and the total limit is 50 pounds?

• 12 pounds

• 20 pounds

• 15 pounds

• 10 pounds

How many more hours does Coco need to complete if she has already done 26 hours and her goal is at least 90 hours?

• 70 hours

• 60 hours

• 90 hours

• 64 hours

What is the inequality representing the situation where the afternoon temperature dropped by 7.5 degrees to be at least -12.5 degrees?

• t - 7.5 ≥ -12.5

• t + 7.5 ≤ -12.5

• t - 7.5 ≤ -12.5

• t + 7.5 ≥ -12.5

If the temperature dropped by 7.5 degrees to reach -12.5 degrees, what was the afternoon temperature?

• -15 degrees

• -10 degrees

• -5 degrees

• -20 degrees

What speed was Mr. Jared driving before the curve if he slowed down by 10 miles per hour to reach the speed limit of 15 miles per hour?

• 20 miles per hour

• 25 miles per hour

• 30 miles per hour

• 35 miles per hour

What is the inequality representing Mr. Jared's speed before slowing down by 10 miles per hour to reach 15 miles per hour?

• x - 10 ≤ 15

• x + 10 ≤ 15

• x + 10 ≥ 15

• x - 10 ≥ 15

What is the solution to the inequality x - 1/2 < -2/3?

• x < -1/6

• x > -1/6

• x ≥ -1/6

• x ≤ -1/6

What is the key takeaway about solving inequalities using addition and subtraction?

• It follows the same rules as solving equations

• It requires different operations

• It is different from solving equations

• It is more complex than solving equations