madelynstoltzfus madelynstoltzfus
  • 22-04-2022
  • Mathematics
contestada

HELP!!! Solve the compound inequality.
x − 3 < 2 or x + 5 > 12

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poloking5600
poloking5600 poloking5600
  • 22-04-2022

Answer:

Step-by-step explanation:

The compound Inequality is: 1. x -3 < - 9Adding 3 to both sidesx -3 + 3 < -9 + 3x < -6x  ∈ (-∞,-6)2. x + 5 ≥ 12Subtracting ,5 from both sidesx +5 -5 ≥ 12 -5x ≥ 7x ∈ [7 , ∞)Combining , solution of inequality 1 and inequality ,2→→x ∈ (-∞,-6) ∪x ∈ [7 , ∞)Depicting on the number line ,the solution setOption C: A number line with an open circle on −6, shading to the left, and a closed circle on 7, shading to the right

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