4804203670 4804203670
  • 19-09-2021
  • Mathematics
contestada

7. Solve the inequality.
-30>-4a+18-2(2^3-a)

7 Solve the inequality 30gt4a18223a class=

Respuesta :

renknee
renknee renknee
  • 19-09-2021

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]
  • [tex]a \geq 16[/tex]

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