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) - 6x7.9x−7.9x+5.32≥7.9x−6x
0 + 5.32 >= 1.9x0+5.32≥1.9x
5.32 >= 1.9x5.32≥1.9x
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)5.321.9≥1.9x1.9
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