Solve the following inequality. Click Here for help Video

Question

5
𝑥
+
4

≤
−
7
5x+4 ≤−7

Answer 1

To solve the inequality \( 5x + 4 \leq -7 \), follow these steps:

1. Subtract 4 from both sides: \[ 5x + 4 - 4 \leq -7 - 4 \] This simplifies to: \[ 5x \leq -11 \]

2. Divide both sides by 5: \[ x \leq \frac{-11}{5} \] This simplifies to: \[ x \leq -2.2 \]

Thus, the solution to the inequality is: \[ x \leq -2.2 \]

You can express this solution in interval notation as: \[ (-\infty, -2.2] \]