x > -6.5
Step-by-step explanation:
1.25x + 0.85 - 2.45x < 8.65
collect like terms:
1.25x - 2.45x + 0.85 < 8.65
-1.2x + 0.85 < 8.65
subtract 0.85 from both sides:
-1.2x + 0.85 - 0.85 < 8.65 - 0.85
-1.2x + 0 < 7.8
-1.2x < 7.8
divide both sides by -1.2:
-1.2x/-1.2 < 7.8/-1.2
Note: when an inequality is divided by a negative number, the inequality sign changes
In this case, from < to >
x > -6.5