To solve a two-step inequality, you can follow these steps:
Isolate the variable on one side of the inequality by performing the same operation on both sides of the inequality.
If the inequality is a "greater than" or "less than" inequality, you will need to reverse the inequality if you multiply or divide by a negative number.
Solve the inequality by isolating the variable.
Check your solution by plugging it back into the inequality and making sure it is true.
Graph the solution in number line
Example:
x + 2 > 6
x > 4
(x+2) > 6
x > 4 (by isolating x)
It is important to remember that if we multiply or divide by a negative number, we have to reverse the inequality sign.
It is also important to remember that after solving the inequality, it is necessary to check the solution by substituting it back into the original inequality to make sure it works.