How do you solve abs(3x+12)>=42? Precalculus Solving Rational Inequalities Polynomial Inequalities 1 Answer Narad T. Dec 15, 2016 The solutions are x>=10 and x<=-18 Explanation: We have 2 equations to solve 3x+12>=42 and -3x-12>=42 3x>(42-12) and 3x<=(-12-42) 3x>=30 and 3x<=-54 x>=10 and x<=-18 Answer link Related questions What are common mistakes students make when solving polynomial inequalities? How do I solve a polynomial inequality? How do I solve the polynomial inequality -2(m-3)<5(m+1)-12? How do I solve the polynomial inequality -6<=2(x-5)<7? How do I solve the polynomial inequality 1<2x+3<11? How do I solve the polynomial inequality -12<-2(x+1)<=18? How do you solve the inequality 6x^2-5x>6? How do you solve x^2 - 4x - 21<=0 A) [-3, 7] B) (-∞, -3] C) (-∞, -3] [7, ∞) D) [7, ∞)? How do you solve quadratic inequality, graph, and write in interval notation x^2 - 8x + 15 >0? How do you solve -x^2 - x + 6 < 0? See all questions in Polynomial Inequalities Impact of this question 1681 views around the world You can reuse this answer Creative Commons License