Question

Solve for x: −2x − 4 > 8 The graph shows a number line with an open circle at negative two and shading to the left. The graph shows a number line with an open circle at negative two and shading to the right. The graph shows a number line with an open circle at negative six and shading to the left. The graph shows a number line with an open circle at negative six and shading to the right.

Answer 1

(c) The graph shows a number line with an open circle at negative six and shading to the left. x < -6

Explanation:

You want a description of the graph of the solution to −2x − 4 > 8.

Solution

Adding 4, we get ...

-2x -4 +4 > 8 +4

-2x > 12

Dividing by -2 gives ...

x < -6

Graph

The comparison operator does not include the "or equal to" case, so the end point on the graph will be an open circle. Values of x that satisfy the inequality are less than -6, so shading will be to the left.