-13.4 ≥ 6.7 + 4.3 + w
First, you should simplify anything you can on either side of the inequality.
-13.4 ≥ 11 + w
Next, isolate the variable (w) by subtracting 11 from each side.
-24.4 ≥ w
w ≤ -24.4
This means that w is anything less than or equal to -24.4. You can double-check by plugging a number that goes by this rule into the original inequality. For example, -25 is less than or equal to -24.4:
-13.4 ≥ 6.7 + 4.3 - 25
-13.4 ≥ -14
Check.
-24.4 is less than or equal to -24.4:
-13.4 ≥ 6.7 + 4.3 - 24.4
-13.4 ≥ -13.4
Check.