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".
