1. Inequalities When comparing the numbers 7 and 4
You might say “7 is greater than 4” or
“4 is less than 7”
When two expressions are NOT EQUAL you can write an INEQUALITY

2. INEQUALITY SYMBOLS SYMBOL MEANING EXAMPLE
< ___IS LESS THAN __ < 7
> __ IS GREATER THAN __ > 4
≤ __ IS LESS THAN OR EQUAL TO __ X ≤ 5
{ 5,4,3,2,1…}
≥ __ IS GREATER THAN OR EQUAL TO __ X ≥ 7
{ 7,8,9,10,11…}

3. Solving Inequalities
You solve an inequality much like you do a regular equation.
2x + 4 < 10
2x < 10 -4
2x < 6
x< 3
Solution set
{… 0,1,2}

4. IMPORTANT …REMEMBER…..
When solving certain inequalities, you must remember one important thing…if you are dividing by a NEGATIVE COEFFICIENT then you must FLIP THE inequality SIGN TO ITS OPPOSITE DIRECTION at the END
-2X + 5 ≤ 11
-2X ≤ 11-5
-2X ≤ 6
-2 -2
X ≥ -3
SOLUTION SET {-3,-2,-1….}
Flip the sign !!!