Question

How do you solve two step inequalities?

Answer 1

In this given problem, we have two ways to solve two step inequalities. To solve this problem, we have to know about inequalities. We know the equation is nothing but which equates a value with an equal to symbol ‘= ‘. But inequality is the quality of being unequal or uneven, it compares two values less than, greater than or not equal such that $<,\le ,>,\ge$. We can solve inequality by the following ways.

Complete step by step answer:
We should know that, to solve an inequality, we should isolate or separate the variables, on one side of the inequality we put the variable, and on the other side, we put what is left.
If the variable is multiplied by some number, we have to divide the inequality by that number.
If we divide or multiply by a negative number, we have to reverse the direction of inequality.
We can now deal with an example.
We know that solving two-step inequalities is much like solving two-step equations, we can use inverse operations to solve each of the following inequalities.
We can take an example. $5x+8.5=-10.5$
Now we can solve the inequality to determine the values of the variable.
$\Rightarrow 5x+8.5-8.8\ge -10.5-8.5$ we have subtracted -8.5 on both sides.
$\Rightarrow 5x\ge -19$
Now we can divide 5 on both sides and simplify,
$\Rightarrow x\ge 3.8$
Therefore, we have solved two step inequality.

Note: Students make mistakes in assigning the correct symbol, which may lead to wrong solutions. We should know that, if the variable is multiplied by some number, we have to divide the inequality by that number. If we divide or multiply by a negative number, we have to reverse the direction of inequality.