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Name: _______________________________
Block: ___________ Date: ______________
Two-Step Inequalities
When solving 2 โ step inequalities:
+/- FIRST, move the _______________________
x/รท SECOND, move the _____________________
What is the constant that I need to move first?
- 4x โ 9 < 21 2) 4 โ 5r > 36 3) 15 โฅ 2w + 17
Examples:
- 2 ๐ฆ๐ฆ โ 4 โค โ (^28) 2) ๐ก๐ก โ 10 โ^2 โฅ^ โ^4
39B
Golden Rule of Algebra:
Two Step Inequalities Practice
- ๐๐ 2 + 13 โฅ (^8) 2) ๐ฆ๐ฆโ 3 7 < 10
Homework
Solve & Graph
1 ) 2 ๐ฆ๐ฆ โ 5 โค โ (^29) 2) ๐ก๐ก โ 11 โ^5 โฅ^ โ^9
7) 34 ๐๐ + 12 โฅ โ 36 8)^
๐ค๐ค 3 +^21 <^28
- Which number line shows the correct solution to 7 y โ 9 > 5?
Solve the inequality to find the right graph.
a) b)
c) d)
Write an inequality that could be used to represent all the solutions for x: The five and a number added to six is greater than or equal to 26.
Write an inequality that could be used to represent all the solutions for x: The quotient of a number and three minus twelve is less than 12.
Which is a value for h that makes the following true? โ 3 h + 6 โฅ 24
- Which is a value for r that makes the following true? โ 12 + r> 24
- For which inequality is 7 a solution?
12 > 4 + 2 p 12 > โ 4 + 2 p โ 12 > 4 โ 2 p (^) โ 12 > 4 + 2 p
