Solve the compound inequality and choose the correct answer below. Number line looks like -7+1<-3x+13 and -2x -5>-4x-1. what does the numberline look like.

Answer 1

To solve the compound inequality, we need to solve each inequality separately and then find the intersection of their solutions.

From the inequality -7+1 < -3x+13, we can simplify it to -6 < -3x+13 and further to -19 < -3x. Dividing by -3 and reversing the inequality sign, we get 19/3 > x or x < 19/3.

From the inequality -2x - 5 > -4x - 1, we can simplify it to 2x > -4 and further to x > -2.

Therefore, the solution to the compound inequality is x lies in (-∞, 19/3) ∩ (-2, ∞). Representing this on the number line, it looks like:

(-∞, -2) U (19/3, ∞)