Question

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

Answer 1

0.35x – 4.8 < 5.2 – 0.9x
0.35x + 0.9x < 5.2 + 4.8
1.25x < 10
x < 10/1.25
x < 8

Solutions are all real numbers (-∞, 8)

Answer 2

Answer:

B) (–∞, 8)

Step-by-step explanation:

So the interval for the solution of a certain set is the numbers that can be used as value for X in the set and the set still be true, in order to solve this, you just need to solve the set by making it an equation:

0.35x – 4.8 < 5.2 – 0.9x

0.35x – 4.8 =5.2 – 0.9x

0.35x+0.9x=5.2+4.8

1.25x=10

x=8

So the maximum value of X will be 8, and when X is a negative value the set is true, so the interval would be all real numbers form -infinite to 8.

(-∞,8)