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Determine the values that are the solutions to the inequality. 8 - 1/2 x > 3 - 10 - 11.5 - -4.25 - 6 - 15 -...

Determine the values that are the solutions to the inequality. 8 - 1/2 x > 3
- 10
- 11.5
- -4.25
- 6
- 15
- -20

Answer

To solve the inequality 8 - 1/2 x > 3, follow these steps:

  1. Subtract 8 from both sides: -1/2 x > 3 - 8, which simplifies to -1/2 x > -5.
  2. Multiply both sides by -2 to solve for x, remembering to reverse the inequality sign: x < 10.

The values that satisfy x < 10 are:

  • - 10 (not a solution as it is not less than 10)
  • - 11.5 (not a solution as it is greater than 10)
  • - -4.25 (a solution as it is less than 10)
  • - 6 (a solution as it is less than 10)
  • - 15 (not a solution as it is greater than 10)
  • - -20 (a solution as it is less than 10)

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