Question

For which inequality is \(x=238\) a solution? (A) \(250 \geq x+12\) (B) \(250x+12\)

Short answer

The value \(x=238\) is a solution for inequality A (\(250 \geq x+12\))

Step-by-step solution

Review Individual Inequalities

Solve each inequality individually substituting x with 238. This will give the result for each equation which can then be compared with the left side of the inequality to see if the inequality holds.

Solve First Inequality

Let's solve inequality A: \(250 \geq x+12\). We substitute \(x=238\) into A: \(250 \geq 238+12\). Simplifying, we have \(250 \geq 250\), which is true. So \(x=238\) is a solution for inequality A.

Solve Second Inequality

Next we solve inequality B: \(250<x+12\). Substituting \(x=238\) into B gives \(250<238+12\). Simplifying, we have \(250<250\), which is false. So \(x=238\) is not a solution for inequality B.

Solve Third Inequality

Lastly, we solve inequality C: \(250>x+12\). Substituting \(x=238\) into C gives \(250>238+12\). Simplifying, we have \(250>250\), which is also false. So \(x=238\) is not a solution for inequality C.