Solve for x

-15x+60 < _105 and 14x+11< _-31

a. x< _-3
b. x> _-3
c. x=-3
d. there are no solutions
e. all values of x are solutions

Option C. x=-3

Step-by-step explanation:

we have

----> inequality A

solve for x

subtract 60 both sides

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

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

we have

----> inequality B

Solve for x

subtract 11 both sides

Divide by 14 both sides

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

b is the answer that makes most sense

step-by-step explanation:

d

step-by-step explanation: