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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 0≤x≤7 0 \leq x \leq 7 that satisfy the following inequality:\newline−2x+4≥1 -2 x+4 \geq 1 \newlineAnswer: x= x=

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Q. State all integer values of x x in the interval 0≤x≤7 0 \leq x \leq 7 that satisfy the following inequality:\newline−2x+4≥1 -2 x+4 \geq 1 \newlineAnswer: x= x=
  1. Solve for x: First, we need to solve the inequality for xx.−2x+4≥1-2x + 4 \geq 1 Subtract 44 from both sides to isolate the term containing xx.−2x+4−4≥1−4-2x + 4 - 4 \geq 1 - 4−2x≥−3-2x \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.\newline−2x/−2≤−3/−2-2x / -2 \leq -3 / -2\newlinex≤3/2x \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 0≤x≤70 \leq x \leq 7 are 00 and 11.

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