Question

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

(-0,-8)

0 (-0,8)

(-8,-)

O (8,00)

Answer 1

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 ).

Answer 2

Answer:
`(-\infty, 8)`

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<5.2`

2. Add
`4.8` to both sides:

`1.25x-4.8+4.8<5.2+4.8\\\\1.25x<10`

3. Divide both sides by
`1.25`:

`(1.25x)/(1.25)<(10)/(1.25)\\\\x<8`

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)`