Question

Which graph represents the solutions of 0.8x - 0.6 ≥ 0.9x + 4.1?​

Answer 1

Solve for x:

0.8x -0.6 ≥ 0.9x +4.1

Multiply both sides by 10 to remove decimals:

8x -6 ≥ 9x +41

Add 6 to both sides:

8x ≥9x + 47

Subtract 9x from both sides:

-1x ≥ 47

Divide both sides by -1 and because you are dividing by a negative number you need to reverse the inequality:

x ≤ -47

The correct graph is A.