Do NOT Cross-Multiply This! 🛑 (Rational Inequalities Trick) #mathsshorts #shorts #maths #mathematics

Added: 2026-06-03

[00:00:00]So, this question asks us to solve the inequality given to us.

[00:00:05]First, we can subtract one from both sides before simplifying the left side of the inequality into a single fraction.

[00:00:15]Rewriting minus one as x squared minus one divided by itself.

[00:00:22]Then, with a common denominator of x squared minus one, simplify the numerator to get three minus x squared.

[00:00:31]We need values of x that are equal to zero.

[00:00:36]So, we need to set the expressions three minus x squared and x squared minus one equal to zero before solving to find the range of values for x, which are plus or minus root three and plus or minus one, respectively.

[00:00:55]There are five sections of the graph where the sign of the y values needs to be found.

[00:01:02]The inequality asks us to solve for positive values and those values are when x is between minus root three and minus one and one and root three.