Solving Equations
Solve for x:
3x = 2
x = 2/3
3m > 9
m>3
Use a number line to draw a graph that represents:
x < 5
Open dot at 5, line pointing to the left
Solve for x:
9 < x + 5 < 12
4 < x < 7
What does this symbol mean? <
is less than
Solve for x:
½ x = 3
x = 6
m/10 < 5
m<50
Use a number line to draw a graph that represents:
x is greater than or equal to -2
Closed dot at -2, line pointing to the right
Solve for p:
-3 < 7 + p < 10
-10 < p < 3
x > 3
(symbol should have a line under it)
Solve for x:
x = -15 – 2x
x = 5
-4 > 2x - 6
1 > x
Use a number line to draw a graph that represents:
-2 < x < 6
Open dots at -2 and 6, with a line between them
Solve for x:
6 < 3x < 21
2 < x < 7
What does this symbol mean? >
Greater Than
Solve for x:
-4x - 3 = -5x + 8
x = 11
x/2 - 3 < 7
X < 5
Use a number line to draw a graph that represents:
x is less than or equal to 7 and greater than 2
Open dot at 2, closed dot at 7, and a line between them
Solve for n:
-8 < n/2 < 12
-16 < n < 24
What is a solution set?
A set of values that make an inequality true.
Solve for x:
3(x – 6) = 2 – 5x
x = 5/2
400 - 25x < 300
4 < x
Use a number line to draw a graph that represents:
x is less than 1 OR greater than or equal to 9
Open dot at 1, closed dot at 9, lines pointing in opposite directions
Solve for w:
w - 2 < -5 or w + 7 > 34
w < -3 or w > 27
What are the two types of compound inequalities? Write an example of each.
Compound inequalities may be joined together by “and” or “or”.
"And" example: -1 ≤ x ≤ 3
"Or" example: x < 1 or x ≥ 3