Question

We want the following inequality to be true: |x| < |14|∣x∣<∣14∣vertical bar, x, vertical bar, is less than, vertical bar, 14, vertical bar Which of the following are possible values for xxx?

Answer 1

Answer:

We want the following inequality to be true: |x| < |14|∣x∣<∣14∣vertical bar, x, vertical bar, is less than, vertical bar, 14, vertical bar Which of the following are possible values for xxx?

Answer 2

Answer:

we can express the solution set as (-14, 14).

Step-by-step explanation:

what is inequality?

A proposition that one quantity is bigger than or less than another is known as an inequality in mathematics. Inequalities are used to compare values, express limits or constraints, and describe relationships between numbers or variables.

There are different types of inequalities, such as:

*Linear inequality

*Quadratic inequalities

*Rational inequalities

The inequality |x| < |14| means that the absolute value of x is less than the absolute value of 14. The absolute value of 14 is 14, so we have:

|x| < 14

This inequality is satisfied by any real number x that is between -14 and 14, but not including -14 and 14. This can be written as follows in interval notation:

-14 < x < 14

Therefore, the possible values for x are all real numbers between -14 and 14, excluding -14 and 14. In set-builder notation, we can write:

{x | -14 < x < 14, x ≠ -14, x ≠ 14}

So the possible values for x are all real numbers between -14 and 14, excluding -14 and 14 themselves.

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