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Solve for 
x.

-9x+2 > 18quad" OR "quad13 x+15 <= -4
Choose 1 answer:
A) 
x <= -(19)/(13)
(B) 
x < -(16)/(9)
(c) 
-(16)/(9) < x < -(19)/(13)
(D) There are no solutions
(E) All values of 
x are solutions

Solve for x x .\newline -9 x+2>18 \quad \text { OR } \quad 13 x+15 \leq-4 \newlineChoose 11 answer:\newlineA) x1913 x \leq-\frac{19}{13} \newline(B) x<-\frac{16}{9} \newline(c) \( -\frac{16}{9}

Full solution

Q. Solve for x x .\newline9x+2>18 OR 13x+154 -9 x+2>18 \quad \text { OR } \quad 13 x+15 \leq-4 \newlineChoose 11 answer:\newlineA) x1913 x \leq-\frac{19}{13} \newline(B) x<169 x<-\frac{16}{9} \newline(c) 169<x<1913 -\frac{16}{9}<x<-\frac{19}{13} \newline(D) There are no solutions\newline(E) All values of x x are solutions
  1. Solve inequality -9x + 2 > 18: First, let's solve the inequality -9x + 2 > 18.\newlineSubtract 22 from both sides to isolate the term with xx.\newline-9x + 2 - 2 > 18 - 2\newline-9x > 16\newlineNow, divide both sides by 9-9. Remember that dividing by a negative number reverses the inequality sign.\newlinex < -\frac{16}{9}
  2. Isolate the term with x: Next, let's solve the inequality 13x+15413x + 15 \leq -4.\newlineSubtract 1515 from both sides to isolate the term with x.\newline13x+151541513x + 15 - 15 \leq -4 - 15\newline13x1913x \leq -19\newlineNow, divide both sides by 1313 to solve for x.\newlinex1913x \leq -\frac{19}{13}
  3. Divide both sides by 9-9: Now we have two inequalities to consider:\newlinex < -\frac{16}{9} and x1913x \leq -\frac{19}{13}.\newlineWe need to find the intersection of these two sets to find the solution for xx.\newlineThe number 169-\frac{16}{9} is less than 1913-\frac{19}{13}, so the solution set for xx is the values that are less than 169-\frac{16}{9} and also less than or equal to 1913-\frac{19}{13}.\newlineThis means that the solution set is x < -\frac{16}{9}, as it is the more restrictive condition.

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