Question

Question

Express the inequality a -0.12 using interval notation.
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Answer 1

Answer:
`(-\infty ,-0.12]`

Curved parenthesis for negative infinity. Square bracket for the -0.12

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Step-by-step explanation:

The inequality
`x \le -0.12` is the same as
`-\infty < x \le -0.12`

This says that x is larger than negative infinity, but smaller than or equal to -0.12

Put another way: x is between negative infinity and -0.12, x could also equal -0.12

To write this in interval notation, we would say
`(-\infty ,-0.12]`

We always use a curved parenthesis for either infinity. The square bracket indicates "include this endpoint as part of the interval".