Solving Inequality Word Problems Step-by-Step

This video tutorial covers solving inequality word problems, focusing on identifying key phrases that indicate inequalities. It provides examples, such as calculating the days for a baby elephant to reach a certain weight and determining the maximum weight of a small cat in a group. The video emphasizes understanding dependent variables and using properties of inequalities to solve problems. It concludes with a preview of the next topic, deductive reasoning.

Which of the following phrases indicates an inequality?

• is more than

• is exactly

• is identical to

• is equal to

What does the phrase 'X is more than 9' translate to in inequality form?

• X = 9

• X > 9

• X < 9

• X ≤ 9

When converting word problems into inequalities, what should you be cautious about?

• Using the word 'is'

• Using the word 'and'

• Using the word 'or'

• Using the word 'but'

If a baby elephant gains 2 pounds per day and weighs 200 pounds at birth, how many days will it take to weigh at least 450 pounds?

• 100 days

• 125 days

• 150 days

• 175 days

What is the inequality form for the baby elephant's weight problem?

• 200 + 2D < 450

• 200 + 2D = 450

• 200 + 2D ≥ 450

• 200 + 2D ≤ 450

In the cat weight problem, if the small cat weighs 's' pounds, what is the weight of the medium cat?

• s - 2

• s - 1

• s + 1

• s + 2

What is the inequality form for the total weight of the three cats?

• s + (s + 1) + (s + 2) ≤ 24

• s + (s + 1) + (s + 2) > 24

• s + (s + 1) + (s + 2) ≥ 24

• s + (s + 1) + (s + 2) = 24

What is the maximum weight of the small cat if the total weight of the three cats is at most 24 pounds?

• 5 pounds

• 8 pounds

• 7 pounds

• 6 pounds

If the small cat weighs 7 pounds, what is the weight of the large cat?

• 8 pounds

• 9 pounds

• 10 pounds

• 11 pounds

What is the next topic mentioned at the end of the video?

• Inductive reasoning

• Deductive reasoning

• Proportions

• Linear equations