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Solve for x. 3x-91 > -87quad OR quad21 x-17 > 25 Choose 1 answer: (A) x > 2 (B) x > (4)/(3) (C) (4)/(3) < x < 2 D There are no solutions (E) All values of x are solutions

Solve for x x .\newline 3 x-91>-87 \quad OR \quad 21 x-17>25 \newlineChoose 11 answer:\newline(A) x>2 \newline(B) x>\frac{4}{3} \newline(C) \( \frac{4}{3}

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Q. Solve for x x .\newline3x−91>−87 3 x-91>-87 \quad OR 21x−17>25 \quad 21 x-17>25 \newlineChoose 11 answer:\newline(A) x>2 x>2 \newline(B) x>43 x>\frac{4}{3} \newline(C) 43<x<2 \frac{4}{3}<x<2 \newlineD There are no solutions\newline(E) All values of x x are solutions
  1. Solve inequality 3x - 91 > -87: First, let's solve the inequality 3x - 91 > -87. Add 9191 to both sides to isolate the term with xx. 3x - 91 + 91 > -87 + 91 3x > 4 Now, divide both sides by 33 to solve for xx. \frac{3x}{3} > \frac{4}{3} x > \frac{4}{3}
  2. Isolate the term with xx: Next, let's solve the inequality 21x - 17 > 25. Add 1717 to both sides to isolate the term with xx. 21x - 17 + 17 > 25 + 17 21x > 42 Now, divide both sides by 2121 to solve for xx. \frac{21x}{21} > \frac{42}{21} x > 2
  3. Divide both sides by 33 to solve for xx: Now we have two inequalities to consider: x > \frac{4}{3} and x > 2. Since xx must be greater than both 43\frac{4}{3} and 22, we take the larger value, which is 22. Therefore, the solution is x > 2.

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