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

Question

0 < x/-5

Answer 1

To solve for x, we can cross-multiply the inequality:

0 < x / -5

Multiply both sides of the inequality by -5 to isolate x:

0 * -5 < x * -5

0 > -5x

This inequality tells us that -5x is less than zero. To find the value of x, we need to divide both sides of the inequality by -5, but since we are dividing by a negative number, we must reverse the direction of the inequality sign:

0 / -5 > x

0 > x

Thus, x is greater than 0.

To graph the solution on the number line, we represent all the values of x that satisfy the inequality. In this case, x is greater than 0, so we start at 0 and shade to the right.

Below is a number line with the filled-in circle indicating that 0 is not included in the solution, and the shaded area to the right representing the values of x that satisfy the inequality.

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