Answer:
a ≥ 16
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
- [tex]-30 \geq -4a + 18 -16 + 2a[/tex]
- [tex]-30 \geq -2a + 2[/tex]
Step 2: Flip the equation.
- [tex]-2a + 2 \leq -30[/tex]
Step 3: Subtract 2 from both sides.
- [tex]-2a + 2 -2 \leq -30-2[/tex]
- [tex]-2a \leq -32[/tex]
Step 4: Divide both sides by -2 and flip the sign.
- [tex](-2a)/(-2) \leq -32/(-2)[/tex]
