How do you solve -7.9x + 5.32\geq - 6x7.9x+5.326x?

1 Answer
Oct 10, 2017

See a solution process below:

Explanation:

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

color(red)(7.9x) - 7.9x + 5.32 >= color(red)(7.9x) - 6x7.9x7.9x+5.327.9x6x

0 + 5.32 >= 1.9x0+5.321.9x

5.32 >= 1.9x5.321.9x

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

5.32/color(red)(1.9) >= (1.9x)/color(red)(1.9)5.321.91.9x1.9

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