| 1.1- Solving Linear Equations and Inequalities | 1.4- Sets, Inequalities, and Interval Notation | 1.5- Intersections, Unions, and Compound Inequalities | 1.6- Absolute-Value Equations and Inequalities |
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x=1
Solve 3x-9=12. Explain the steps
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set notation uses ( ) or [ ]. Interval notation uses inequality signs.
What is the difference between set and interval notation? When would you use brackets over parentheses? How would this look in both notations?
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and- intersection, no union, includes in between sets on a number line
What are the key differences between and/or compound inequalities
or- disjunction, union, does not include both sets. goes towards negative infinity and infinity |
absolute value of a negative is positive
absolute value cannot equal a negaitive
Name a few absolute value properties
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x=-5/2
Solve -2(x-5)=6(x+7)-12. Explain the steps
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<--------------------13
Graph on a number line: (-infinity, 13)
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outwards towards infinity and negative infinity
Graph: x less than -3 or x is greater than 3
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no solution
Solve absolute value of x<0
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y=5
Solve 1/8(16y+8)-17= -1/4 (8y-16). Explain the steps
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y less than or equal to -6/5
Solve and graph on a number line. Write interval notation for solution set. 4y+3 (less than or equal to) -6y-9
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x>2 and x<1
Solve and graph. 2x-3 >1 and 3x-1 < 2
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no solution
Solve absolute value of 5x+6 = -8
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m=7
m-13/4 + m+2/5 = 3/10. Explain the steps
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m>7/3 or (7/3, infinity)
Solve and graph on a number line. Write interval notation and solution set. 5[3m-(m+4)]-5> -2 (m-4)
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no solution.
Solve for x: x+2 >5 and x+4<5. Graph on a number line. Write in set notation.
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All real numbers. (-infinity, infinity)
Solve absolute value of 3x-4 >-2
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y=-10
Solve 03y-8=2.6y+5. Explain the steps
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x>-51/31 or (-51/31, infinity)
Solve and graph on a number line. Write interval notation and solution set. 0.7(3x+7)>1.1-(x+2)
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x or equal to -2
all real numbers (-infinity, infinity)
Solve and graph. 3x-11 (or equal to) 1
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x=6 or x=1
Solve 2 absolute value of (2x-7) + 11 = 25
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