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

minus, 1, is less than or equal to, start fraction, x, divided by, 4, end fraction
−1≤
4
x


Answer

1 answer

To solve for x, we can first multiply both sides of the inequality by 4 to get rid of the fraction:

-4 ≤ x

Now we can rewrite x on the left side:

x ≥ -4

This means x is greater than or equal to -4. To represent this solution on the number line, we would shade all values starting from -4 and extending towards positive infinity. The circle on -4 would be filled in to show that it is included in the solution:

-4 -3 -2 -1 0 1 2 3 4
-----------------------------------------
x ■----------------------------->

Therefore, the solution for x is x ≥ -4, which can be represented graphically on the number line.