Solve the inequality and graph the solution on a number line.
–3(5y – 4) ≥ 17
show work!

Step-by-step explanation:

In order to solve the inequality, follow the simple steps:

–3(5y – 4) ≥ 17 .

Dividing both sides with -3:

5y - 4 ≤ -17/3 (the sign of the inequality becomes opposite whenever a negative number is either multiplied or divided on both the sides of the inequality).

Adding 4 on both sides:

5y ≤ -5/3

Dividing 5 on both sides:

y ≤ -1/3.

This shows that all the values of y less than and equal to -1/3 satisfy the inequality.

The number line has been attached. Since it involves ≤ sign, therefore, a filled circle will be used to plot the inequality. Less than means that all the values on the left hand side of the number line will be included. This is denoted with an arrow (see the diagram)!!!