Compound Inequalities
True or False: "or" graphs graph opposite and "and" graphs graph together
True
Solve, graph, and IN:
l2x+8l is greater than or equal to 6
(-inf,7] or [-1,+inf)
x+7 is less than or equal to 2 or (x+17)/3 is greater than or equal to 5
(-inf,-5] or [-2,+inf)
The larger of two numbers is seven less than three times the smaller number. If the sum of the numbers is 61, find the numbers.
17,44
Who is Mrs. Hewitt's best friend(s)?
Danna and Mrs. Westy
Solve, graph, and write in IN:
-4x - 11 > 5 or 8x - 7 > 9
(-inf,-4) or (2,+inf)
Solve, graph, and IN:
l7x+7l < 35
(-6,4)
Solve, graph, and IN:
3 < 2x+1 < 13
(1,6)
The larger of two numbers is one more than four times the smaller number. If the sum of the numbers is 106, find the numbers.
21,85
Who is Mrs. Hewitt's favorite band(s)?
Led Zeppelin, Korn
-2x - 1 is less than -17 or 1 - x is greater than or equal to 4
(-inf,-3] or (8,+inf)
Solve, graph, and IN:
l5x+5l + 22 > 57
(-inf,-8) or (6,+inf)
Solve w=9x + 5y for y
y = (w-9x)/5
The highest score on a geometry test was 42 points more than the lowest test score. When added together, the lowest and highest score is 154. Find the scores.
56,98
How old is Mrs. Hewitt?
46
Solve, graph, and write in IN:
-31 < 9x+5 < 32
-4<x<3; (-4,3)
Solve, graph, and IN:
2lx-4l - 7 is less than or equal to 1
[0,8]
Solve: -7(a-3) = 11-7a
No solution
The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 in, find the dimensions of the rectangle.
3 in, 9 in
How many kids does Mrs. Hewitt have (including my bonus kids)?
5
Solve, graph, and write in IN:
-24 is less than or equal to 2x-10 is less than -6
-7 is less than or equal to x is less than 2; [-7,2)
Solve, graph, IN:
3l2x-4l - 6 is less than or equal to 24
[-3,7]
Solve: 3/m-1 = 6/3m+8
m=-10
The length of a rectangle is 3 cm less than twice its width. If the perimeter of the rectangle is 18 cm, find the dimensions of the rectangle.
4cm, 5cm
How many years has Mrs. Hewitt been at Wayne Schools? (Count this year as a whole year)
4