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Which of the following values are solutions to the inequality 
2x+2 > -9?
I. -14
II. -11
III. -7
None
I only
II only
III only
I and II
I and III
II and III
I, II and III

Which of the following values are solutions to the inequality 2 x+2>-9 ? \newlineI. 14-14\newlineII. 11-11\newlineIII. 7-7\newlineNone\newlineI only\newlineII only\newlineIII only\newlineI and II\newlineI and III\newlineII and III\newlineI, II and III

Full solution

Q. Which of the following values are solutions to the inequality 2x+2>9? 2 x+2>-9 ? \newlineI. 14-14\newlineII. 11-11\newlineIII. 7-7\newlineNone\newlineI only\newlineII only\newlineIII only\newlineI and II\newlineI and III\newlineII and III\newlineI, II and III
  1. Isolate variable xx: Isolate the variable xx in the inequality 2x + 2 > -9 by subtracting 22 from both sides of the inequality.\newlineCalculation: 2x + 2 - 2 > -9 - 2\newlineSimplified: 2x > -11
  2. Divide by 22: Divide both sides of the inequality 2x > -11 by 22 to solve for xx.\newlineCalculation: \frac{2x}{2} > \frac{-11}{2}\newlineSimplified: x > -5.5
  3. Check 14-14: Check if the value II, which is 14-14, is a solution to the inequality x > -5.5.\newlineCalculation: -14 > -5.5\newlineThis is not true, so 14-14 is not a solution.
  4. Check 11-11: Check if the value IIII, which is 11-11, is a solution to the inequality x > -5.5.\newlineCalculation: -11 > -5.5\newlineThis is not true, so 11-11 is not a solution.
  5. Check 7-7: Check if the value IIIIII, which is 7-7, is a solution to the inequality x > -5.5.\newlineCalculation: -7 > -5.5\newlineThis is true, so 7-7 is a solution.
  6. Identify solutions: Based on the checks in steps 33, 44, and 55, only the value III (7-7) is a solution to the inequality.

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