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Determine the smallest integer value of x in the solution of the following inequality. 4x+6 > 4 Answer: x=

Determine the smallest integer value of x x in the solution of the following inequality.\newline 4 x+6>4 \newlineAnswer: x= x=

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Full solution

Q. Determine the smallest integer value of x x in the solution of the following inequality.\newline4x+6>4 4 x+6>4 \newlineAnswer: x= x=
  1. Question Prompt: Question prompt: Determine the smallest integer value of xx that satisfies the inequality 4x + 6 > 4.
  2. Subtract and Isolate: Subtract 66 from both sides of the inequality to isolate the term with xx.\newline4x + 6 - 6 > 4 - 6
  3. Simplify Inequality: Simplify both sides of the inequality. 4x > -2
  4. Divide and Solve: Divide both sides of the inequality by 44 to solve for x. (4x)/4 > (-2)/4
  5. Final Solution: Simplify the inequality to find the solution for xx.x > -\frac{1}{2}
  6. Smallest Integer Value: Since we are looking for the smallest integer value of xx, we need to find the smallest integer that is greater than −12-\frac{1}{2}.\newlineThe smallest integer greater than −12-\frac{1}{2} is 00.

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