Question

When solving an inequality, you see that −x>3.

Which number line represents the solutions for x and −x?

Answer 1

Bottom right graph

Explanation:

We know that the inequality -x > 3, means that -x only exists for values which are greater than 3.

In addition, when we solve this inequality for x, we get

-3 > x, which means that x exists for values which are less than -3.

Looking at the number lines, the bottom right is the only one which satisfies this condition. The arrow representative of -x extends from 3 to positive infinity, while the arrow representative of x extends from -3 to negative infinity.

Hope this helps!