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Solve for x. 4x-4 < 8quad AND quad9x+5 > 23 Choose 1 answer: (A) 2 < x < 3 (B) x < 2 or x > 3 (C) There are no solutions D All values of x are solutions

Solve for x x .\newline 4 x-4<8 \quad AND \quad 9 x+5>23 \newlineChoose 11 answer:\newline(A) 2<x<3 2<x<3 \newline(b)="" =""x<2=""="" x<2="" ="" or="" x="">3 \)\newline(C) There are no solutions\newlineD All values of x x are solutions

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Q. Solve for x x .\newline4x−4<8 4 x-4<8 \quad AND 9x+5>23 \quad 9 x+5>23 \newlineChoose 11 answer:\newline(A) 2<x<3 2<x<3 \newline(B) x<2 x<2 or x>3 x>3 \newline(C) There are no solutions\newlineD All values of x x are solutions
  1. Solve first inequality: Solve the first inequality 4x - 4 < 8.\newlineAdd 44 to both sides to isolate the term with xx.\newline4x - 4 + 4 < 8 + 4\newline4x < 12\newlineNow, divide both sides by 44 to solve for xx.\newline\frac{4x}{4} < \frac{12}{4}\newlinex < 3
  2. Solve second inequality: Solve the second inequality 9x + 5 > 23.\newlineSubtract 55 from both sides to isolate the term with xx.\newline9x + 5 - 5 > 23 - 5\newline9x > 18\newlineNow, divide both sides by 99 to solve for xx.\newline\frac{9x}{9} > \frac{18}{9}\newlinex > 2
  3. Combine solutions: Combine the solutions of the two inequalities to find the range of xx that satisfies both.\newlineFrom Step 11, we have x < 3.\newlineFrom Step 22, we have x > 2.\newlineThe solution is the intersection of these two inequalities.\newlineTherefore, the solution is 2 < x < 3.

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