Question

A number is less than 20 units away from 7 on the number line. what numbers are within these parameters? choose the inequality that represents the situation. solve the inequality.

Answer 1

The inequality which represents the situation is; |x - 7| < 20 and the solution is; 27 > x > -13.

What is the inequality that represents the situation?

Since the number is less than 20 units away from.the number 7 on the number line, it follows.from interpretation that the inequality is;

|x - 7| < 20

Hence; x-7 < 20; x < 27

Or

-x + 7 < 20

-x < 13

x > -13

Hence, the solution of the inequality is; 27 > x > -13.

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