September 27, 2016
HW #10 ANSWERS
Quiz on Friday on Aims 10-13 !
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September 27, 2016
Aim #11: How do we solve inequalities?
Date:____________
Do Now: Solve the following equation 7x - 5 = 9
a) What makes 7x - 5 < 9 different from 7x - 5 = 9 ?
b) Is 4 a solution to the inequality 7x - 5 < 9 ?
c) Is 0 a solution to the inequality 7x - 5 < 9 ?
d) Is 2 a solution to the inequality 7x - 5 < 9 ?
e) How can we graph the solution set for 7x - 5 < 9 on a number line?
How do we solve inequalities?
Rules for finding the solution set of an inequality
and graphing solution on a number line:
1) Solve inequality as you would solve an equation.
* *NOTE- When multiplying or dividing both sides by a negative,
we must change the direction of the inequality sign**
2) Open Circle vs. Closed Circle
Open circle
Closed circle
3) Solution is a SET of values that make the inequality true.
Use an arrow to indicate the direction of the solution.
Practice:
1) What is the solution set of the inequality
?
Write the solution as an inequality and graph on a number line.
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September 27, 2016
2) Find the solution set to each inequality. Express the solution as an
inequality and graphically on the number line.
a) 8y + 4 < 7y - 2
b) m + 8 ≠ 9
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c) 4(x - 3) > 2(x - 2)
True or False: 2 < 3
Multiply both sides by -1.
Is the inequality true or false?
What if we divide both sides by -1?
* *When multiplying or dividing both sides by a negative, an equivalent
solution results only if the direction of the inequality symbol switches
directions**
3) Solve -q ≥ -7 and graph solution on a number line.
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September 27, 2016
4) Find the solution set to each inequality. Express the solution as an
inequality and graphically on the number line.
5 a) Solve this inequality ­4 + 2t ­14 ­18t > ­6 ­22t
b) Graph solution on a number line
Let's Sum It Up!!
Rules for finding the solution set of an inequality and graphing
solution on a number line:
1) Solve inequality as you would solve an equation.
* *NOTE- When multiplying or dividing both sides by a
negative, the inequality symbol switches
directions**
2) Open Circle vs. Closed Circle
Open circle for <, >, or =
Closed circle for < or >
3) Solution is a region of values that make the inequality true. We
sketch an arrow indicating the direction of the solution.
Helpful Hints: https://www.khanacademy.org/math/algebra/
linear_inequalities/inequalities/v/multi‐step‐inequalities
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Attachments
HW 11 Solving Literal Equations Answer Key.pdf
HW 10 Literal Equations Answers.pdf