Assess Readiness
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Look at Part 1. What is a compound inequality?
A set of two or more inequalities connected by AND or OR.
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What inequality can you write to describe the smallest value of
x included in the solution set shown? Justify your response.x\ge-6 ; the circle is closed at-6 , which means that the solution includes-6 and all values greater than-6 that are shaded. -
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What are two ways you can write the compound inequality represented in Part 1?
x\ge-6 ANDx\lt5 ;-6\le x\lt5 -
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Is
(0,5) a solution to the equationy=x+5 ? Justify your answer algebraically and graphically.Yes;
(0,5) makes a true equation when it is substituted intoy=x+5 , and it falls on the line. -
Give an example of a point that is not a solution to
y=-3x+1. Why isn't it a solution?Answers vary. Students should choose any point that is not on the line of
y=-3x+1 ; they can show that (1) it does not make the equation true and (2) it does not fall on the line. -
How is the solution to a system of equations represented on a graph?
It is the point where the graphs of the two equations intersect.
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How can you verify that this ordered pair is correct?
Substitute its values into the two equations you came up with; it should make both equations true.
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