So starting with the first inequality: 5x + 7 ≤ -3
Firstly, subtract 7 on both sides: 5x ≤ -10
Next, divide both sides by 5, and your answer will be x ≤ -2
The next inequality: 3x - 4 ≥ 11
Firstly, add 4 on both sides: 3x ≥ 15
Next, divide both sides by 3, and your answer will be x ≥ 5
Remember that this is an OR statement, and that we don't just rid of it after solving the inequality. And after solving the inequalities, our answer is "x ≤ -2 OR x ≥ 5", or C.