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Which of the following values are solutions to the inequality 
-10+6x >= 8 ?
I. 3
II. 11
III. 9
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 10+6x8 -10+6 x \geq 8 ?\newlineI. 33\newlineII. 1111\newlineIII. 99\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 10+6x8 -10+6 x \geq 8 ?\newlineI. 33\newlineII. 1111\newlineIII. 99\newlineNone\newlineI only\newlineII only\newlineIII only\newlineI and II\newlineI and III\newlineII and III\newlineI, II and III
  1. Solve Inequality for x: Solve the inequality for xx. Start with the inequality 10+6x8-10 + 6x \geq 8. Add 1010 to both sides to isolate the term with xx. 10+6x+108+10-10 + 6x + 10 \geq 8 + 10 6x186x \geq 18 Now, divide both sides by 66 to solve for xx. 6x6186\frac{6x}{6} \geq \frac{18}{6} x3x \geq 3
  2. Add and Isolate xx: Test each value to see if it satisfies the inequality x3x \geq 3.\newlineI. For x=3x = 3, check if 333 \geq 3 is true.\newline333 \geq 3 is true, so I is a solution.
  3. Divide and Solve for xx: Determine the final answer based on the solutions found in Step 22.\newlineSince all three values I (33), II (1111), and III (99) satisfy the inequality x3x \geq 3, the final answer is that all of them are solutions.

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