Q. Solve for x.−9x+2>18 OR 13x+15≤−4Choose 1 answer:A) x≤−1319(B) x<−916(c) −916<x<−1319(D) There are no solutions(E) All values of x are solutions
Solve inequality -9x + 2 > 18: First, let's solve the inequality -9x + 2 > 18.Subtract 2 from both sides to isolate the term with x.-9x + 2 - 2 > 18 - 2-9x > 16Now, divide both sides by −9. Remember that dividing by a negative number reverses the inequality sign.x < -\frac{16}{9}
Isolate the term with x: Next, let's solve the inequality 13x+15≤−4.Subtract 15 from both sides to isolate the term with x.13x+15−15≤−4−1513x≤−19Now, divide both sides by 13 to solve for x.x≤−1319
Divide both sides by −9: Now we have two inequalities to consider:x < -\frac{16}{9} and x≤−1319.We need to find the intersection of these two sets to find the solution for x.The number −916 is less than −1319, so the solution set for x is the values that are less than −916 and also less than or equal to−1319.This means that the solution set is x < -\frac{16}{9}, as it is the more restrictive condition.
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