The solution of given inequalities are x > -3 and x ≤ 5.
<h3>How do you solve an inequality?</h3>
When resolving an inequality, you can do one of the following: add the same amount to each side; deduct the same amount from each side; multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide each side by a negative number.
Given inequalities are 2x - 5 > -11 and -10x - 6 ≥ 44.
To solve the first inequality,
2x - 5 > -11
Adding 5 on both sides,
2x - 5 + 5 > -11 + 5
2x > -6
Divide both sides by 2,
x > -3
To solve the second inequality,
-10x - 6 ≥ 44
Adding 6 on both sides,
-10x - 6 + 6 ≥ 44 + 6
-10x ≥ 50
Divide both sides by -10, and change the inequality sign
x ≤ 5
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