Math

QuestionSolve the inequality 1>(w+5)1 > -(w + 5), graph the solution, and adjust the endpoints as specified.

Studdy Solution

STEP 1

Assumptions1. We are solving the inequality 1>(w+5)1 > -(w+5). We are looking for all values of ww that satisfy this inequality3. The solution will be graphed on a number line

STEP 2

First, we need to simplify the inequality. We can do this by distributing the negative sign on the right side of the inequality.
1>w51 > -w -5

STEP 3

Next, we can isolate ww by adding 55 to both sides of the inequality.
1+5>w5+51 +5 > -w -5 +5

STEP 4

implify the inequality.
6>w6 > -w

STEP 5

To make ww positive, we multiply both sides of the inequality by 1-1. When we multiply or divide both sides of an inequality by a negative number, we must reverse the direction of the inequality.
<w- < w

STEP 6

This inequality tells us that ww is greater than 6-6. We can graph this on a number line. The point 6-6 is an open point because ww is strictly greater than 6-6, not equal to 6-6.
The solution to the inequality 1>(w+5)1 > -(w+5) is w>6w > -6.

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