Question

Look at the inequality below.
-2x + 4 ≥ 0
Which of the following represents the solution to the inequality?

Answer 1

To solve the inequality \(-2x + 4 \geq 0\), follow these steps:

1. **Isolate the variable**: Start by moving the constant term to the other side of the inequality.
\[
-2x \geq -4
\]

2. **Divide by the coefficient of \(x\)**: Since we are dividing by a negative number (-2), we need to flip the inequality sign.
\[
x \leq 2
\]

Thus, the solution to the inequality \(-2x + 4 \geq 0\) is
\[
x \leq 2
\]

In interval notation, the solution can be expressed as:
\[
(-\infty, 2]
\]

This means that \(x\) can take any value less than or equal to 2.