Solve for x. Graph the solution.

Question

minus
five thirdsxless than or equalsnegative 5

Answer 1

To solve for x, we will set up the equation:

-5/3x <= -5

To isolate x, we can multiply both sides of the inequality by -3/5. However, since we are multiplying by a negative number, the inequality sign will flip.

x >= (-5)(-3/5)

x >= 15/5

x >= 3

The solution to the inequality is x greater than or equal to 3, so we can graph this on a number line:

[3, +∞)

The shaded region on the number line includes all values of x that are greater than or equal to 3.