Question

Solve for x and graph the solution on the number line below.

Answer 1

-6 < x < 2

see attached for a graph

Explanation:

You want the solution to 3 > -x -3 > -5 expressed as an inequality and as a graph.

Solution

Multiplying by -1, we need to reverse the inequality symbols:

-3 < x + 3 < 5

Now, we can subtract 3 to get the solution as an inequality.

-6 < x < 2

The graph is in the attachment.

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Additional comment

There are open circles at the boundary points because the "less than" (<) inequality means the boundary points are not included in the solution set.