Q. Determine the smallest integer value of x in the solution of the following inequality.4x−8>−5Answer: x=
Isolate variable term: Isolate the variable term on one side of the inequality. To do this, we need to add 8 to both sides of the inequality to cancel out the −8 on the left side. 4x - 8 + 8 > -5 + 8
Simplify both sides: Simplify both sides of the inequality. 4x > 3
Divide by coefficient: Divide both sides of the inequality by the coefficient of x to solve for x.\frac{4x}{4} > \frac{3}{4}
Simplify after dividing: Simplify the inequality after dividing. x > \frac{3}{4}
Find smallest integer: Find the smallest integer value of x that satisfies the inequality.Since x must be greater than 43, the smallest integer value that is greater than 43 is 1.
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