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Solve the inequality and graph the solution on a number line

Solve the inequality and graph the solution on a number line-example-1

1 Answer

3 votes

Answer:


y\leq -1/3

The graph in the attached figure

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

Solve the inequality and graph the solution on a number line-example-1
User Prabath Abeysekara
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