Question

7x+39≥53 AND 16x+15>31 {solve for x}

Answer 1

Answer:

A. $7x+39 \geq 53$

=> $7x \geq 53-39$

=> $7x \geq 14$

=> $x\geq 2$

The solution is the interval is [2,∞)

B. $16x+15>31$

=> $16x>31-15$

=> $16x>16$

=> x >1

The solution is (1,∞)

Now, the solution of the inequality A AND B is equal to

[2,∞) ∩ (1,∞)=[2,∞)