According to the rules in a certain soccer league, the mass of the ball should be 430 grams plus or minus 20 grams. Which absolute value inequality describes m, the mass of a ball in grams that satisfies the rule?

A. |m-20|≤430
B. |m+20|≤430
C. |m-430|≥20
D. |m+430|≥20

Question

According to the rules in a certain soccer league, the mass of the ball should be 430 grams plus or minus 20 grams. Which absolute value inequality describes m, the mass of a ball in grams that satisfies the rule?

A. |m-20|≤430
B. |m+20|≤430
C. |m-430|≥20
D. |m+430|≥20

tyteen4a03 · Answer

C is the answer. The range of the ball can be from 410 to 450 grams, A will only satisfy 450, B will only satisfy 410. D satisfies no value (duh), and that leaves us with C.

Plugging in the extremes is very useful when solving inequality questions like this.