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Determine the smallest integer value of x in the solution of the following inequality. 4x-1 > -12 Answer: x=

Determine the smallest integer value of x x in the solution of the following inequality.\newline 4 x-1>-12 \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−1>−12 4 x-1>-12 \newlineAnswer: x= x=
  1. Identify Inequality: Identify the inequality to solve.\newlineWe are given the inequality 4x - 1 > -12.
  2. Isolate Variable Term: Isolate the variable term by adding 11 to both sides of the inequality.4x - 1 + 1 > -12 + 1This simplifies to:4x > -11
  3. Divide by 44: Divide both sides of the inequality by 44 to solve for xx.\frac{4x}{4} > \frac{-11}{4}This simplifies to:x > \frac{-11}{4}
  4. Convert to Decimal: Convert the fraction to a decimal to better understand the inequality.\newline−114-\frac{11}{4} is the same as −2.75-2.75.\newlineSo, x > -2.75
  5. Find Integer Value: Determine the smallest integer value of xx that is greater than −2.75-2.75. Since −2-2 is the next integer greater than −2.75-2.75, the smallest integer value of xx that satisfies the inequality is −2-2.

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