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State all integer values of x in the interval [-2,4] that satisfy the following inequality: 5x+4 >= 3 Answer: x=

State all integer values of x x in the interval [−2,4] [-2,4] that satisfy the following inequality:\newline5x+4≥3 5 x+4 \geq 3 \newlineAnswer: x= x=

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Q. State all integer values of x x in the interval [−2,4] [-2,4] that satisfy the following inequality:\newline5x+4≥3 5 x+4 \geq 3 \newlineAnswer: x= x=
  1. Isolate x term: Solve the inequality 5x+4≥35x + 4 \geq 3.\newlineSubtract 44 from both sides to isolate the term with xx.\newline5x+4−4≥3−45x + 4 - 4 \geq 3 - 4\newline5x≥−15x \geq -1
  2. Solve for x: Divide both sides by 55 to solve for x.\newline5x5≥−15\frac{5x}{5} \geq -\frac{1}{5}\newlinex≥−15x \geq -\frac{1}{5}\newlineSince we are looking for integer values, the smallest integer that satisfies this inequality is 00.
  3. Identify integers in interval: Identify the integer values within the given interval [−2,4][-2,4] that satisfy the inequality.\newlineThe integers in the interval [−2,4][-2,4] are −2,−1,0,1,2,3,4-2, -1, 0, 1, 2, 3, 4.\newlineSince x≥0x \geq 0, the integers that satisfy the inequality are 0,1,2,3,40, 1, 2, 3, 4.

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