Question

Solve the inequality and graph the solution on a number line

Answer 1

Answer:

$y\leq -1/3$

The graph in the attached figure

Step-by-step explanation:

we have

$-3(5y-4)\geq 17$

Applying the distributive property on the left side

$-15y+12\geq 17$

Subtract 12 both sides

$-15y\geq 17-12$

$-15y\geq 5$

Multiply by -1 both sides

$15y\leq -5$

Divide by 15 both sides

$y\leq -5/15$

Simplify

$y\leq -1/3$

The solution is the interval -------> (-∞, -1/3]

All real number less than -1/3

In a number line the solution is the shaded area down of y=-1/3 (close circle)

The graph is the attached figure