When we square both sides of an inequality, we are raising each side to the second power. This is done in order to eliminate any negative values and make the inequality easier to solve.
Yes, you can square both sides of any inequality as long as the inequality is maintained. This means that if the original inequality had a greater than or less than sign, the new inequality should also have the same sign.
We square both sides of an inequality in order to make it easier to solve. By eliminating any negative values, we can more easily see the relationship between the two sides of the inequality and determine the solution.
Yes, there are a few rules to keep in mind when squaring both sides of an inequality. First, make sure to maintain the same inequality sign. Also, if there are any absolute value symbols, they should be removed before squaring. Finally, be careful when dealing with fractions or variables, as the rules for squaring those may be slightly different.
Yes, squaring both sides of an inequality can sometimes change the solution. This is because squaring can introduce extraneous solutions, which are values that satisfy the squared inequality but not the original one. It is important to check the solutions obtained after squaring both sides to ensure they are valid for the original inequality.