QuestionWrite the inequality for $w$ such that -9 < $w$ < 0 using $w$ only once.

Studdy Solution

STEP 1

Assumptions1. The variable $w$ is a real number. . The inequality is strict, meaning $w$ can't be equal to -9 or0.

STEP 2

We need to express the given conditions as an inequality. The conditions are that $w$ is greater than -9 and less than0.

STEP 3

The inequality that represents " $w$ is greater than -9" is $w > -9$ .

STEP 4

The inequality that represents " $w$ is less than0" is $w <0$ .

STEP 5

To use $w$ only once in the inequality, we can write the two conditions together, with $w$ in the middle. $-9 < w <0$ This inequality means that $w$ is greater than -9 and less than0, which is exactly what we want.
So, the inequality that represents " $w$ is greater than -9 and less than0" and uses $w$ only once is $-9 < w <0$ .

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