Q. Determine the largest integer value of x in the solution of the following inequality.−2x+9≥9Answer: x=
Write Inequality: We start by writing down the inequality we need to solve:−2x+9≥9
Subtract 9: Next, we subtract 9 from both sides of the inequality to isolate the term with x on one side:−2x+9−9≥9−9
Simplify Inequality: Simplifying both sides of the inequality gives us:−2x≥0
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:x≤0/−2
Final Solution: Simplifying the division gives us the solution for x:x≤0
Largest Integer: Since we are looking for the largest integer value of x that satisfies the inequality, we can see that x can be any integer less than or equal to0. The largest integer that satisfies this condition is 0 itself.
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