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

-2x+4 >= 1
Answer: 
x=

State all integer values of x x in the interval 0x7 0 \leq x \leq 7 that satisfy the following inequality:\newline2x+41 -2 x+4 \geq 1 \newlineAnswer: x= x=

Full solution

Q. State all integer values of x x in the interval 0x7 0 \leq x \leq 7 that satisfy the following inequality:\newline2x+41 -2 x+4 \geq 1 \newlineAnswer: x= x=
  1. Solve for x: First, we need to solve the inequality for xx.2x+41-2x + 4 \geq 1 Subtract 44 from both sides to isolate the term containing xx.2x+4414-2x + 4 - 4 \geq 1 - 42x3-2x \geq -3
  2. Divide by 2-2: Now, we divide both sides by 2-2 to solve for xx. Remember that dividing by a negative number reverses the inequality sign.\newline2x/23/2-2x / -2 \leq -3 / -2\newlinex3/2x \leq 3/2
  3. Find Integer Solutions: Since we are looking for integer values of xx, we need to consider the integers that are less than or equal to 32\frac{3}{2}. The only integers that satisfy this condition in the given interval 0x70 \leq x \leq 7 are 00 and 11.

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