Question

Mark incorrectly solved the inequality -4(5/2+3/2x) > 8. His work is shown. Which step shows an error based on the inequality ONLY from the previous step? Help please!!​

Answer 1

Answer : The incorrect step is, (A) step 1: -10 + 6x > 8

Step-by-step explanation :

The given expression is:

$-4(\frac{5}{2}+\frac{3}{2}x)>8$

Now solving this expression step by step.

First -4 distributed over parentheses.

$(-4\times \frac{5}{2})+(-4\times \frac{3}{2}x)>8$

Now solving bracket term, we get:

$-10-6x>8$

Now taking like terms together, we get:

$-6x>8+10$

$-6x>18$

$-x>3$

Now multiplying this expression by (-1), we get:

$x>-3$

Thus, the incorrect step is, (A) step 1: -10 + 6x > 8