Answer:
[2,∞)
Step-by-step explanation:
step 1
Solve the inequality A
[tex]7x+39\geq 53[/tex]
Subtract 39 both sides
[tex]7x\geq 53-39[/tex]
[tex]7x\geq 14[/tex]
Divide by 7 both sides
[tex]x\geq 2[/tex]
The solution is the interval -------> [2,∞)
All real numbers greater than or equal to 2
step 2
Solve the inequality B
[tex]16x+15> 31[/tex]
Subtract 15 both sides
[tex]16x> 31-15[/tex]
[tex]16x> 16[/tex]
Divide by 16 both sides
[tex]x> 1[/tex]
The solution is the interval -------> (1,∞)
All real numbers greater than 1
step 3
The solution of the inequality A AND the inequality B is equal to
[2,∞) ∩ (1,∞)=[2,∞)
