How do you solve and graph #x < -1# or #x > 1#?

Answer 1

The whole number line apart from -1 to +1.

The key word here is "OR"! This increases the possible answers, because the solution for #x# can include either of the possibilities given. As long as #x# is a value less than -1, or greater than 1, it is included.

On a number line graph this would be shown as an open circle on -1 with an arrow drawn to the left, as well as an open circle on +1 with an arrow drawn to the right. All Real numbers are included, rationals, irrationals, fractions, decimals,integers etc. Only the values from -1 to +1 are excluded.

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Answer 2

Ethan Adkins

To solve and graph the compound inequality x < -1 or x > 1, follow these steps: 1. Solve each inequality separately: - x < -1 - x > 1 2. Graph the solutions on a number line: - For x < -1, shade the region to the left of -1. - For x > 1, shade the region to the right of 1. 3. Combine the shaded regions from both inequalities to get the overall solution. This results in two shaded regions on the number line: one to the left of -1 and the other to the right of 1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve and graph #x &lt; -1# or #x &gt; 1#?

How do you solve and graph #x < -1# or #x > 1#?