-10 ≥ 2x + 14
-24 ≥ 2x [subtract 14 from both sides]
2x ≤ -24 [read right to left]
x ≤ -12 [divide both sides by 2]
Check:
Let x = -13 (It is ≥ -12)
Is this true: -10 ≥ 2(-13) + 14 ?
-10 ≥ -26 + 14 ?
-10 ≥ -14 ?yes
Let x = -11 (it is not ≥ -12)
Is this false:: -10 ≥ 2(-11) + 14 ?
-10 ≥ -22 + 14 ?
-10 ≥ -8 ?yes