−7<−5x+3or

Question

−52≥−5x+3

Answer 1

Solving the first inequality, we have:

-7 < -5x + 3
Subtracting 3 from both sides:
-10 < -5x
Dividing both sides by -5 (and remember to reverse the inequality sign when dividing by a negative number):
2 > x

So the solution to the first inequality is x > 2.

Now, solving the second inequality, we have:

-52 ≥ -5x + 3
Subtracting 3 from both sides:
-55 ≥ -5x
Dividing both sides by -5 (and remember to reverse the inequality sign when dividing by a negative number):
11 ≤ x

So the solution to the second inequality is x ≥ 11.

Therefore, the solution to the system of inequalities is x > 2 or x ≥ 11.