Math  /  Algebra

QuestionExpress the interval [17,17][-17,17] as an absolute value inequality for variable xx.

Studdy Solution
We can express this inequality in terms of absolute value. The absolute value of a number xx is the distance of xx from zero on the number line. Therefore, if xx is between -17 and17, the distance of xx from zero is less than or equal to17. This can be written as x17|x| \leq17.
x17|x| \leq17So, the interval [17,17][-17,17] can be expressed as x17|x| \leq17 in terms of an inequality involving absolute value.

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