Answer:
[tex]y\leq -1/3[/tex]
The graph in the attached figure
Step-by-step explanation:
we have
[tex]-3(5y-4)\geq 17[/tex]
Applying the distributive property on the left side
[tex]-15y+12\geq 17[/tex]
Subtract 12 both sides
[tex]-15y\geq 17-12[/tex]
[tex]-15y\geq 5[/tex]
Multiply by -1 both sides
[tex]15y\leq -5[/tex]
Divide by 15 both sides
[tex]y\leq -5/15[/tex]
Simplify
[tex]y\leq -1/3[/tex]
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
