InequalitiesInequalities
An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: Inequalities work like equations, but they tell you whether one expression is bigger or smaller than the expression on the other side. < “is less than” > “is greater than” ≤ “is less than or equal to” ≥“is greater than or equal to”
"Solving'' an inequality means finding all of its solutions. A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement.
<> less than fewer than greater than more than exceeds less than or equal to no more than at most greater than or equal to no less than at least Inequality symbols
Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice open circles < less than > greater than
Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice colored in circles ≤ less than or equal to ≥ greater than or equal to
Inequalities and their Graphs Let’s work a few together 3 Notice: when variable is on left side, sign shows direction of solution
Inequalities and their Graphs Let’s work a few together 7 Notice: when variable is on left side, sign shows direction of solution
Inequalities and their Graphs Let’s work a few together -2 Notice: when variable is on left side, sign shows direction of solution Color in circle
Inequalities and their Graphs Let’s work a few together 8 Notice: when variable is on left side, sign shows direction of solution Color in circle
Try this one on your own
12
On your Own
12
On your Own
2
Answer 1 through 5 1.
On your Own 2.
On your Own 3.
On your Own 4.
On your Own 5.
Answer 6 through b ≤ -7
7. a > 8 On your Own
8. q ≥ -5 On your Own
9. s < 14 On your Own
10. m ≥ 8 On your Own