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

minus, 1, is less than, start fraction, x, divided by, 2, end fraction
−1<
2
x

1 answer

To solve for x, we multiply both sides of the inequality by 2 to get rid of the fraction:

-1 < x/2
-2 < x

So x is greater than -2.

On the number line, this would be represented as an open circle at -2 with an arrow pointing to the right to show that x is greater than -2.

Number line:
<------o---------------->

Explanation: The open circle at -2 indicates that -2 is not included as a part of the solution, and the arrow to the right shows that x is greater than -2.