Question

question
which inequality is true when the value of $z$ is 16?
answer
$z + 4.5 < -6$
$-z + 4.5 > 6$
$-z + 4.5 > -6$
$-z + 4.5 < 6$

Explanation:

Step1: Substitute z=16 into each inequality

Test each option with $z=16$

Step2: Evaluate Option 1

$16 + 4.5 < -6$
$20.5 < -6$ → False

Step3: Evaluate Option 2

$-16 + 4.5 > 6$
$-11.5 > 6$ → False

Step4: Evaluate Option 3

$-16 + 4.5 > -6$
$-11.5 > -6$ → False

Step5: Evaluate Option 4

$-16 + 4.5 < 6$
$-11.5 < 6$ → True

Answer:

D. $-z + 4.5 < 6$