Q. Determine the smallest integer value of x in the solution of the following inequality.5x+9≥13Answer: x=
Subtract 9: Subtract 9 from both sides of the inequality to isolate the term with x.5x+9−9≥13−9
Simplify sides: Simplify both sides of the inequality. 5x≥4
Divide by 5: Divide both sides of the inequality by 5 to solve for x.55x≥54
Simplify inequality: Simplify the inequality to find the smallest value of x.x≥54Since we are looking for the smallest integer value of x, we need to round up because x must be greater than or equal to 54.
Determine integer value: Determine the smallest integer greater than or equal to 54. The smallest integer greater than or equal to 54 is 1. x=1
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