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State all integer values of 
x in the interval 
2 <= x <= 7 that satisfy the following inequality:

2x-2 > 4
Answer: 
x=

State all integer values of x x in the interval 2x7 2 \leq x \leq 7 that satisfy the following inequality:\newline 2 x-2>4 \newlineAnswer: x= x=

Full solution

Q. State all integer values of x x in the interval 2x7 2 \leq x \leq 7 that satisfy the following inequality:\newline2x2>4 2 x-2>4 \newlineAnswer: x= x=
  1. Solve Inequality: Solve the inequality 2x - 2 > 4. Add 22 to both sides of the inequality to isolate the term with xx. 2x - 2 + 2 > 4 + 2 2x > 6
  2. Isolate x Term: Divide both sides of the inequality by 22 to solve for x.\newline\frac{2x}{2} > \frac{6}{2}\newlinex > 3
  3. Divide by 22: Determine the integer values of xx that are greater than 33 and within the interval [2,7][2, 7].\newlineSince xx must be greater than 33, the smallest integer value xx can take is 44.\newlineThe integer values of xx that satisfy the inequality and are within the interval are 44, 55, 3300, and 3311.

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