Question

Pls help 25 points

7x + 39 ≥ 53 AND 16x + 15 > 31
CHOOSE ONE ANSWER
x > 1
x ≥ 2
x ≤ 2
There are no solutions
All values of x are solutions

Answer 1

x > 1

first, we’ll focus on the first inequality. to isolate the variable, x, we have to subtract 39 from each side
7x + 39 > 53
7x > 14
now divide by 7
x > 2 (x is greater than or equal to 2)

for the second inequality, isolate the variable by subtracting 15 from each side and then dividing by 16
16x + 15 > 31
16x > 16
x > 1

so the answer put together would be x > 1 & x > 2

because x>2 falls under the category of x > 1 (2 is greater than 1 and can be a valid answer for this), the answer is x > 1 because it applies to both inequalities’ values