Question

use the expressions in the table. which expression has the greatest value when x = 2? a: |3x + 7| b: -9|-x| c: 2+|x - 9| d: -8|2x - 1|

Explanation:

Step1: Substitute x = 2 into A

$|3\times2 + 7|=|6 + 7|=|13| = 13$

Step2: Substitute x = 2 into B

$|-9|-|2|=9 - 2=7$

Step3: Substitute x = 2 into C

$2+|2 - 9|=2+|-7|=2 + 7 = 9$

Step4: Substitute x = 2 into D

$-8|2\times2-1|=-8|4 - 1|=-8\times|3|=-8\times3=-24$

Answer:

A. $|3x + 7|$