Question

What is the best first step in solving Negative 4 x + two-fifths greater-than StartFraction 5 over 10 EndFraction?

Answer 1

Answer:

Correct option: Subtract Two-fifths from both sides.

Step-by-step explanation:

The inequality is:

$-4x+\frac{2}{5}>\frac{5}{10}$

The best first step to solve the inequality will be to collect the like term on one side.

To do this, we must subtract $\frac{2}{5}$ from both sides of the inequality.

$-4x+\frac{2}{5}-\frac{2}{5}>\frac{5}{10}-\frac{2}{5}\\\\-4x>\frac{25-20}{50}\\\\-4x>\frac{1}{10}$

Now solve for x as follows:

$-4x>\frac{1}{10}\\\\x$

Thus, the value of x lies in the range $x$.

Answer 2

Answer:

B - Subtract Two-fifths from both sides.