Q. State all integer values of x in the interval 0≤x≤7 that satisfy the following inequality:−2x+4≥1Answer: x=
Solve for x: First, we need to solve the inequality for x.−2x+4≥1 Subtract 4 from both sides to isolate the term containing x.−2x+4−4≥1−4−2x≥−3
Divide by −2: Now, we divide both sides by −2 to solve for x. Remember that dividing by a negative number reverses the inequality sign.−2x/−2≤−3/−2x≤3/2
Find Integer Solutions: Since we are looking for integer values of x, we need to consider the integers that are less than or equal to23. The only integers that satisfy this condition in the given interval 0≤x≤7 are 0 and 1.
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