Solving Two-Step Inequalities

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Add 6 to both sides.

Divide both sides by 5.

n > 11.

Use a number line to represent the solution set, with an open circle for 'greater than' or 'less than' and a closed circle for 'greater than or equal to' or 'less than or equal to'.

x ≥ -10.

y ≥ 5.

Add 4 to both sides, then divide by -3, remembering to flip the inequality sign.

Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains true.

It represents all numbers greater than -3, shown with an open circle at -3 and a line extending to the right.