1. DOUBLE INEQUALITIES Remember from a previous lesson ……..
Swop both sides
Merge Together

2. DOUBLE INEQUALITIES This is a Double Inequality. It is also SOLVED.
Why?
This is a Double Inequality.
It is NOT yet SOLVED.
We need to get x on its own.
Add -1 to all 3 “sides”
SOLVED.
Let’s graph it on a number line

3. DOUBLE INEQUALITIES

4. SOLVING DOUBLE INEQUALITIES
SOLVE and show the solutions on a number line
Add -1 to all parts
Divide by 2 across all parts
Double Inequality Solved!

5. SOLVING DOUBLE INEQUALITIES
SOLVE and show the solutions on a number line
Add -1 to all parts
Divide by -2 across all parts but remember to change the inequality signs
Double Inequality Solved!
Let’s Flip it so it looks like the ones we have done so far

6. SOLVING DOUBLE INEQUALITIES
SOLVE and show the solutions on a number line
Add -2 to all parts
Divide by 5 across all parts
Double Inequality Solved!

7. USEFUL TIP
The rules for Solving an DOUBLE Inequality are IDENTICAL to the rules for solving any inequality.
Instead of having just a LHS and RHS,
we have a LHS, a MIDDLE and a RHS.