PDA

View Full Version : sat math inequality question

William
10-28-2013, 05:53 PM
How many positive integers satisfy the following inequality?

-23<3x+1 \leq 13

(A) None
(B) Four
(C) twelve
(D) thirteen

Thanks!;)

Thomas
10-28-2013, 05:54 PM
How many positive integers satisfy the following inequality?

-23<3x+1 \leq 13

(A) None
(B) Four
(C) twelve
(D) thirteen

Thanks!;)

We have to solve the inequality and then count all the positive integers that satisfy it.

-23<3x+1 \leq 13 \Rightarrow -24<3x \leq 12

-24<3x \leq 12 \Rightarrow -8<x \leq 4

So, the positive integers that satisfy the inequality are four.

Therefore the correct answer is (B).

Hope these help!

William
10-28-2013, 05:55 PM
We have to solve the inequality and then count all the positive integers that satisfy it.

-23<3x+1 \leq 13 \Rightarrow -24<3x \leq 12

-24<3x \leq 12 \Rightarrow -8<x \leq 4

So, the positive integers that satisfy the inequality are four.

Therefore the correct answer is (B).

Hope these help!

Thank Tomas!!