Answer:
x < 1.975
Step-by-step explanation:
-12.4x + 8x > -0.4x - 5.2 - 2.7
Add similar elements: -12.4x + 8x = -4.4x
-4.4x > -0.4x - 5.2 - 2.7
Subtract -5.2 - 2.7: -7.9
-4.4x > -0.4x - 7.9
Multiply both sides by 10
-4.4x · 10 > -0.4x - 7.9 · 10
Refine
-44x > -4x - 79
Add 4x to both sides
-44x + 4x > -4x - 79 + 4x
Simplify
-40x > -79
Multiply both sides by -1 (Reverse the inequality)
-40x (-1) > -79 (-1)
Simplify
40x < 79
Divide both sides by 40
40x / 40 < 79 / 40
Simplify
x < ⁷⁹⁄₄₀
Turn the fraction into a decimal
x < 1.975