Question

How do you solve `-7.9x + 5.32\geq - 6x`?

Answer 1

See a solution process below:

Explanation:

First, add `color(red)(7.9x)` to each side of the inequality to isolate the `x` term while keeping the inequality balanced:

`color(red)(7.9x) - 7.9x + 5.32 >= color(red)(7.9x) - 6x`

`0 + 5.32 >= 1.9x`

`5.32 >= 1.9x`

Now, divide each side of the inequality by `color(red)(1.9)` to solve for `x` while keeping the inequality balanced:

`5.32/color(red)(1.9) >= (1.9x)/color(red)(1.9)`

`2.8 >= (color(red)(cancel(color(black)(1.9)))x)/cancel(color(red)(1.9))`

`2.8 >= x`

To write the solution in terms of `x` we can reverse or "flip" the entire inequality:

`x <= 2.8`