How do you solve the inequality #1+5/(a-1)<=7/6#? Precalculus Solving Rational Inequalities Solving Rational Inequalities on a Graphing Calculator 1 Answer Somebody N. Apr 11, 2018 #color(blue)((-oo,1)uu[31,oo)# Explanation: #1+5/(a-1)<=7/6# Subtract #7/6# form both sides: #5/(a-1)-1/6<=0# Add LHS: #(30-(a-1))/(6(a-1))<=0# #(31-a)/(6(a-1))<=0# Multiply by #6#: #(31-a)/(a-1)<=0# So we need: #+/-# and #-/+# #31-a>=0=>a<=31# #a-1< 0=>a<1# #31-a<=0=>a>=31# #a-1>0=>a>1# #a<1# and #a>=31# #color(blue)((-oo,1)uu[31,oo)# Answer link Related questions How do I solve the rational inequality #(x-4)/(x+5)<4# using a TI-84? How do I solve the rational inequality #(x+10)/(3x-2)<=3# using a TI-84? How do I solve the rational inequality #(x+2)/(2x+1)>5# using a TI-84? How do I solve the rational inequality #(3x-2)/(x+2)<=1/3# using a TI-83? How do I solve the rational inequality #(x^2-1)/(x+1)<2# using a TI-83? How do I solve the rational inequality #(x^2-x-6)/(x+2)<=-3# using a TI-83? How do you solve rational inequalities? How do you solve the inequality #(x^2-2x-24)/(x^2-8x-20)>=0#? How do you solve the inequality #x^3-x^2-6x>0#? How do you solve #(16-x^2)/(x^2-9)>=0#? See all questions in Solving Rational Inequalities on a Graphing Calculator Impact of this question 1979 views around the world You can reuse this answer Creative Commons License