Question

Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save.

a + 212 greater-than-or-equal-to 365

If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why?
No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.
No, because he needs to save $577, and he will only save $150 more.
Yes, because he has already saved $365, and the stereo cost $212.
Yes, because he has already saved $212, and he will save another $150.

Answer 1

No — because a ≥ 365 − 212 = 153, he needs at least $153 more, but 15 × 10 = $150, which is $3 short.