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State all integer values of 
x in the interval 
-2 <= x <= 5 that satisfy the following inequality:

5x-5 >= -10
Answer: 
x=

State all integer values of x x in the interval 2x5 -2 \leq x \leq 5 that satisfy the following inequality:\newline5x510 5 x-5 \geq-10 \newlineAnswer: x= x=

Full solution

Q. State all integer values of x x in the interval 2x5 -2 \leq x \leq 5 that satisfy the following inequality:\newline5x510 5 x-5 \geq-10 \newlineAnswer: x= x=
  1. Solve Inequality: Solve the inequality 5x5105x - 5 \geq -10.\newlineAdd 55 to both sides of the inequality to isolate the term with xx.\newline5x5+510+55x - 5 + 5 \geq -10 + 5\newline5x55x \geq -5
  2. Isolate x Term: Divide both sides of the inequality by 55 to solve for xx.5x555\frac{5x}{5} \geq \frac{-5}{5}x1x \geq -1
  3. Divide to Solve: Identify the integer values of xx that are greater than or equal to 1-1 and within the interval 2x5-2 \leq x \leq 5. The integers that satisfy this condition are 1-1, 00, 11, 22, 33, 44, and 55.

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