Download 11-Intro to Inequalities

Name: __________________________________
CC Algebra 11-Introduction to Inequalities
Number ______
Date_____________
Ms. Socci
DO Now
Consider the equation: 7 + 𝑝 = 12.
𝑝-VALUE
THE NUMBER SENTENCE
TRUTH VALUE
Let 𝑝 = 0
7 + 0 = 12
FALSE
Let 𝑝 = 4
Let 𝑝 = 1 + √2
Let 𝑝 =
1
𝜋
Let 𝑝 = 5
The solution set of an equation written with only one variable is the set of all values one can assign to that
variable to make the equation a true statement. Any one of those values is said to be a solution to the
equation.
To solve an equation means to find the solution set for that equation.
Name the solution set { x/x =
}
Starter Problem
In writing, describe the difference between the following four expressions:
x>6
x<6
Give five values that make the inequality x > 6 true.
x>6
x<6
Give five values that make the inequality x < 6 true.
Mini-Lesson
Translate the following inequalities into written statements. Then use a calculator (not a procedure) to find 3
values that make the statement true.
Inequality
Example: 4x + 2 < 26
Written Translation
Four times x plus 2 is less than 26.
3 values that make the statement true
5, 4, 3
6x > 42
9x < 27
7x + 1< 22
3x + 6 > 18
5x - 10 < 70
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Pair or Group Practice
Complete the table by filling in all of the missing cells.
Written Inequality
Example: Six times x plus 5 is
less than or equal to 35.
Write an inequality
statement using symbols.
6x + 5 < 35
Three times x minus 8 is greater
than sixteen.
2x - 8 < 20
Five times x minus four is less than
or equal to 31.
12 + 3x > 36
Eight times x plus five is greater
than 21.
20 - 2x > 6
Nine plus 3 times x is less than 33.
15 < 3x - 15
Forty-eight is greater than or equal
to seven times x minus 8.
3 values that make the statement true
5, 4, 3
Name: __________________________________
Number ______
CC Algebra Lesson 11-Introduction to Inequalities
Aim: How are solving inequalities different than solving equations?
Solve the equation
Date_____________
Solve the Inequality
1a. x  5  8
1b. x  5  8
2a. 4 x  8
2b. 4 x  8
3a. 4x  2  10
3b. 4x  2  10
4a. 15  3( x  2)
4b. 15  3( x  2)
5a. 2(4  2 x)  32
5b. 2(4  2 x)  32
Summary:
Describe how the solutions of an equation and an inequality are different.
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