Q. State all integer values of x in the interval 2≤x≤7 that satisfy the following inequality:2x−2>4Answer: x=
Solve Inequality: Solve the inequality 2x - 2 > 4. Add 2 to both sides of the inequality to isolate the term with x. 2x - 2 + 2 > 4 + 2 2x > 6
Isolate x Term: Divide both sides of the inequality by 2 to solve for x.\frac{2x}{2} > \frac{6}{2}x > 3
Divide by 2: Determine the integer values of x that are greater than 3 and within the interval [2,7].Since x must be greater than 3, the smallest integer value x can take is 4.The integer values of x that satisfy the inequality and are within the interval are 4, 5, 30, and 31.