Question

Solve each compound inequality and graph the solution. 2x 5 3 or 4x + 7 < -25 >​

Answer 1

The solution of the given compound inequality, 2x − 5 > 3 or 4x + 7 < −25, is x < -8 or x > 4. The graph of the inequality is attached.

In the question, we are asked to solve each compound inequality and graph the solution: 2x − 5 > 3 or 4x + 7 < −25.

We first solve each inequality separately as follows:-

1. 2x - 5 > 3,

or, 2x > 3 + 5,

or, 2x > 8,

or, x > 8/2,

or, x > 4.

2. 4x + 7 < - 25,

or, 4x < - 25 - 7,

or, 4x < - 32,

or, x < -32/4,

or, x < - 8.

Thus, the solution of the given compound inequality is x < -8 or x > 4.

Thus, the solution of the given compound inequality, 2x − 5 > 3 or 4x + 7 < −25, is x < -8 or x > 4. The graph of the inequality is attached.

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The provided question is incorrect. The correct question is:

"Solve each compound inequality and graph the solution: 2x − 5 > 3 or 4x + 7 < −25".