A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 miles per hour. The absolute value inequality |31-s|<=8 represents this situation. If the compound inequality -x<=31-s and x>=31-s also represents this situation, what is the value of x in the compound inequality?
A.–8
B. – 8 or 8
C. 8
D. 8 and –8

Respuesta :

The answer for this question is C.8

C. 8

What is compound equality?

A compound inequality (or combined inequality ) is two or more inequalities joined together with or and. To be a solution to an inequality, a value has to make simplest one part of the inequality actual. To be a solution to inequality, it must make both parts true.

The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. a number is a solution to the compound inequality if the number is a solution to each inequality. it can either be written as x > -1 and x < 2 or as -1 < x < 2.

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