Question

Which interval is the solution set to 0.35x - 4.8 < 5.2 -0.9x?

Answer 1

Answer:  $(-\infty, 8)$

Step-by-step explanation:

Given the following inequality:

$0.35x - 4.8 < 5.2 -0.9x$

You need to solve for "x" in order to find the solution.

The steps are:

1. Add $0.9x$ to both sides of the inequality:

$0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8$

2. Add $4.8$ to both sides:

$1.25x-4.8+4.8$

3. Divide both sides by $1.25$:

$\frac{1.25x}{1.25}$

Notice that "x" is  less than 8. This indicates that 8 is not included in the solution and you must use parentheses.

The solution in Interval notation is:

$(-\infty, 8)$

Answer 2

0.35 x - 4.8 < 5.2 - 0.9 x

0.35 x + 0.9 x < 5.2 + 4.8

1.25 x < 10

x < 10 : 1.25

x < 8

Answer:

B.  ( - ∞, 8 ).