Question

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

A) (−[infinity],4)
B) (4,[infinity])
C) (4,4)
D) (−4,[infinity])

Answer 1

The solution to the inequality 0.35x - 4.8 < 5.2 - 0.9x is the set of all numbers less than 8. However, none of the provided options correctly represent this solution, as they contain different numbers and intervals.

Step-by-step explanation:

To solve the inequality 0.35x - 4.8 < 5.2 - 0.9x, we need to isolate the variable x on one side. First, we'll add 0.9x to both sides to get:

0.35x + 0.9x < 5.2 + 4.8

This simplifies to:

1.25x < 10.0

Now, divide both sides by 1.25 to solve for x:

x < 8

This means that the solution to the inequality is the set of all real numbers less than 8. Looking at the provided options, Interval B would be from a number greater than 4 to infinity, which does not fit our solution. The correct interval should include all numbers less than 8.

There seems to be an error in the provided options as none of them correctly represent the solution x < 8. Therefore, the correct interval is missing from the options provided.