To solve the inequality \(12.5x + 25 \geq 175\), we first isolate the term with \(x\):
-
Subtract 25 from both sides: \[ 12.5x \geq 175 - 25 \] \[ 12.5x \geq 150 \]
-
Now, divide both sides by 12.5: \[ x \geq \frac{150}{12.5} \] \[ x \geq 12 \]
So, the solution to the inequality is \(x \geq 12\).
This means that Patricia needs to work at least 12 hours to save enough money for the phone.
Therefore, the true statement from the options given is:
Patricia needs to work at least 12 hours to save enough money for the phone.