Question

Solve for x

Answer 1

Answer:

Option C. x=-3

Step-by-step explanation:

we have

$-15x+60\leq 105$ ----> inequality A

solve for x

subtract 60 both sides

$-15x\leq 105-60$

$-15x\leq 45$

Divide by -15 both sides

Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$x\geq -3$

The solution of the inequality A is the interval  [-3,∞)

we have

$14x+11\leq -31$ ----> inequality B

Solve for x

subtract 11 both sides

$14x\leq -31-11$

$14x\leq -42$

Divide by 14 both sides

$x\leq -3$

The solution of the inequality B is the interval (-∞,-3]

The solution of the system is

(-∞,-3] ∩ [-3,∞) =-3

therefore

The solution  is x=-3