aichajamila2006
aichajamila2006 aichajamila2006
  • 10-07-2022
  • Mathematics
contestada

Solve the inequality.
-2x + 8 < 14
and -3x - 9 ≥ -12
x>?
and
x≤

Solve the inequality 2x 8 lt 14 and 3x 9 12 xgt and x class=

Respuesta :

Heather
Heather Heather
  • 10-07-2022

Answer:

x > -3     and     x ≤ 1

Step-by-step explanation:

   [First inequality]

Given:

 -2x + 8 < 14

Subtract 8 from both sides:

 -2x < -6

Divide both sides by -2, since it's negative we also flip the sign:

 x > 3

   [Second inequality]

Given:

 -3x - 9 ≥ -12

Add 9 to both sides:

 -3x ≥ -3

 Divide both sides by -3, since it's a negative we also flip the sign:

 x ≤ 1

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