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-10 x-3 >= 8x+4 Which of the following best describes the solutions to the inequality shown? Choose 1 answer: (A) x <= -(7)/(18) (B) x <= -(7)/(2) (C) x <= -(1)/(18) (D) x >= -(7)/(18)

−10x−3≥8x+4 -10 x-3 \geq 8 x+4 \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newlineA) x≤−718 x \leq-\frac{7}{18} \newline(B) x≤−72 x \leq-\frac{7}{2} \newline(C) x≤−118 x \leq-\frac{1}{18} \newline(D) x≥−718 x \geq-\frac{7}{18}

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Q. −10x−3≥8x+4 -10 x-3 \geq 8 x+4 \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newlineA) x≤−718 x \leq-\frac{7}{18} \newline(B) x≤−72 x \leq-\frac{7}{2} \newline(C) x≤−118 x \leq-\frac{1}{18} \newline(D) x≥−718 x \geq-\frac{7}{18}
  1. Combine Like Terms: Combine like terms by moving the variable terms to one side and the constant terms to the other side.\newlineAdd 10x10x to both sides to move the xx terms to the right side:\newline−10x−3+10x≥8x+4+10x-10x - 3 + 10x \geq 8x + 4 + 10x\newlineSimplify:\newline−3≥18x+4-3 \geq 18x + 4
  2. Addition of Terms: Now, subtract 44 from both sides to isolate the variable term:\newline−3−4≥18x+4−4-3 - 4 \geq 18x + 4 - 4\newlineSimplify:\newline−7≥18x-7 \geq 18x
  3. Isolate Variable Term: Divide both sides by 1818 to solve for xx. Since we are dividing by a positive number, the direction of the inequality does not change.\newline−718≥x-\frac{7}{18} \geq x\newlineOr, written in the more conventional way:\newlinex≤−718x \leq -\frac{7}{18}
  4. Divide and Solve: Match the solution to the given answer choices.\newlineThe solution x≤−718x \leq -\frac{7}{18} corresponds to answer choice (A)(A).

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