Question

Ben wrestles in a weight division that requires all wrestlers to weigh between140 and 150 pounds. Which of the following inequalities can be used to determine whether or not Ben's current weight w satisfies the weight requirement?

• A. |w - 130|< 20
• B. |w -135| < 15
• C. |w - 140| < 10
• D. |w - 145| < 5

Answer 1

The correct option is D |w - 145| < 5

Step 1 : Underline Key words

Ben wrestles in a weight division that requires all wrestlers to weigh between 140 and 150 pounds. Which of the following inequalities can be used to determine whether or not Ben's current weight w satisfies the weight requirement?

Step 2 : Recognize the variable
Ben's weight = w

Step 3: Decipher the relation : 140 < w < 150

We have to see which of the following answer options match the inequality :

A) |w - 130|< 20 : 130 - 20 < w < 130 + 20 : 110 < w < 150 [Strike out A]
B) |w -135| <15 : 135 - 15 < w < 135 + 15 : 110 < w < 150 [Strike out B]
C) |w - 140| <10 : 140 - 10 < w < 140 + 10 : 130 < w < 150 [Strike out C]
D) |w - 145| <5 : 145 - 5 < w < 145 + 5 : 140 < w < 150 [D is the solution]