Sponge Page 88 Graph each inequality: X = 5 2) x ≥ 3 3) c ≠ 3 **4) 6 < x 5) Write the inequality for: No more than 30 students in a classroom.

Homework Check X >2500 8) x ≤ 86 X ≤ 64 9) x < 550

Quick Review from Monday Lesson………

rather than ONE set number What’s an inequality? Is a range of values, rather than ONE set number An algebraic relation showing that a quantity is greater than or less than another quantity. Speed limit:

Symbols Less than Greater than Less than OR EQUAL TO Greater than OR EQUAL TO

Solutions…. You can have a range of answers…… -5 -4 -3 -2 -1 0 1 2 3 4 5 All real numbers less than 2 x< 2

Solutions continued… -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 All real numbers greater than 1 x > 1

Solutions continued…. -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 All real numbers less than or equal to 1

Solutions continued… -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 All real numbers greater than or equal to -3

Did you notice, Some of the dots were solid and some were open? -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 Why do you think that is? If the symbol is > or < then dot is open because it CAN NOT be equal. If the symbol is  or  then the dot is solid, because it CAN be that point too.

Adding and Subtracting Inequalities Page 89 Ex 1 Ex 2 Ex 3 Ex 4 Your Turn

Inequalities….(solve just like an equation) Solving an inequality with one variable is much like solving an equation with one variable. Isolate the variable on one side using inverse operations.

Solving an Inequality Example 1 Solve using addition: x – 3 < 5 Add the same number to EACH side. +3 +3 x < 8

Solving Using Subtraction Example 2 Solve using subtraction: Subtract the same number from EACH side. -6 -6

Example 3 Graph the solution. -5 -4 -3 -2 -1 0 1 2 3 4 5

Example 4 Graph the solution. -5 -4 -3 -2 -1 0 1 2 3 4 5

Your Turn Solve and Graph the following inequalities: m – 12 < 18 3) t – 4 ≤ 15 a + 2 > 13 4) h + 16 ≥ 17

Addition/Subtraction Practice Page 88 Tomorrow we will continue with multiplying/dividing inequalities

Sponge Page 90 Solve and Graph the following inequalities: m – 19 < 24 3) t – 3.5 ≤ 12 a + 6 > 13 4) h + 22 ≥ 24

Multiplying and Dividing Inequalities Page 91 Ex 1 Ex 2 Ex 3 Ex 4 Your Turn

Solving using Multiplication Example 1 Solve using multiplication: Multiply each side by the same positive number. (2) 𝑥 2 ≥ 3

Solving Using Division Example 2 Solve using division: Divide each side by the same positive number. 3

Example 3 5x < 12.5 Graph the solution.

Example 4 2 3 𝑥 >6 Graph the solution.

Your Turn Box……  

Your Turn Box……   m ≤ 50 a < 31.2 t ≥ 47 h > 9.5

Solving Inequalities Worksheet  Homework Solving Inequalities Worksheet  PAGE 90