Solving two step Inequalities < < < > < > < <

Solving an Inequality  Follow the same rules and steps that we used to solve an equation.  Always undo addition or subtraction first, then multiplication or division.  Remember whatever is done to one side of the inequality must be done to the other side. The goal is to get the variable by itself.

Examples 2h + 8 ≤ h ≤ h ≤ 8 All numbers less than 8 (including 8)

Remember! There is one special case. ● Sometimes you may have to reverse the direction of the inequality sign!! ● That only happens when you multiply or divide both sides of the inequality by a negative number.

Example: Solve: -3y + 5 > y > y < -6 ● Subtract 5 from each side. ● Divide each side by negative 3. ● Reverse the inequality sign. ● Graph the solution. Open circle, line to the left. 0-6

Example: ● Add 6 to each side. ● Multiply each side by negative 2. ● Reverse the inequality sign ● Graph the solution. ● Open circle, line to the right.

Example 2x + 3 ≥ 7 *Get the variable term alone* “undo” addition by subtraction 2 x ≥ 4 *Isolate the variable* 2 2 “undo” multiplication by division x ≥ ● Graph the solution. Closed circle, line to the right.

Example:

Your Turn…. 1.x > – 12 2.x < 30 3.c > – 3

Variable on the right… 14 > 3x – > 3x > x = x<6 All numbers less than

Practice Solving two step equations