Question

Q15 What value falls in the solution set of the inequality 5 – 2x> 7?
(-1)
(1)
(0)
(-2)

Answer 1

To solve the inequality \( 5 - 2x > 7 \), let's first isolate the variable \( x \).

1. Subtract 5 from both sides:
\[
-2x > 7 - 5
\]
\[
-2x > 2
\]

2. Now, divide both sides by \(-2\). Remember that when you divide by a negative number, you need to reverse the inequality sign:
\[
x < \frac{2}{-2}
\]
\[
x < -1
\]

The solution set indicates that \( x \) must be less than \(-1\).

Now, we can check which of the given options falls within this solution set:

- \(-1\): does not satisfy \( x < -1 \)
- \(1\): does not satisfy \( x < -1 \)
- \(0\): does not satisfy \( x < -1 \)
- \(-2\): satisfies \( x < -1 \)

The value that falls in the solution set of the inequality \( 5 - 2x > 7 \) is \(-2\).