Question

evaluate the expression if $n = 2$, $q = -1.5$, $r = -3$, and $w = 4.5$. $3|w - n| - 5|q - r|$

Explanation:

Step1: Substitute values into absolute values

Substitute $w=4.5$, $n=2$, $q=-1.5$, $r=-3$:
$3|4.5 - 2| - 5|-1.5 - (-3)|$

Step2: Simplify inside absolute values

Calculate differences inside the bars:
$3|2.5| - 5|1.5|$

Step3: Evaluate absolute values

Remove absolute value bars (positive result):
$3\times2.5 - 5\times1.5$

Step4: Perform multiplication

Calculate each product:
$7.5 - 7.5$

Step5: Final subtraction

Compute the remaining difference:
$7.5 - 7.5 = 0$

Answer:

$0$