QuestionIf $-3 \leq x \leq 10$ , find the interval for $-x$ . Explain the changes in inequality when multiplying by -1.

Studdy Solution

STEP 1

Assumptions1. The given interval for $x$ is $-3 \leq x \leq10$ . We are looking for the interval of $-x$

STEP 2

We start by multiplying the entire inequality by -1. This will change the direction of the inequality signs and also change the signs of the numbers.
$-1 \times (- \leq x \leq10)$

STEP 3

Now, apply the multiplication across the inequality.
$3 \geq -x \geq -10$

STEP 4

This is the final interval for $-x$ .So, if $-3 \leq x \leq10$ , then $3 \geq -x \geq -10$ .

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