cherish44444 cherish44444
  • 14-10-2021
  • Mathematics
contestada

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
its opiction c on edegnuity

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rspill6
rspill6 rspill6
  • 17-10-2021

Answer: x≤ -0.5

Step-by-step explanation:  Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x  ≥  2

  x  ≤  -1/2  [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).

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