Simple Inequalities
Solve. w + 23 > -18
w> -41
Graph this compound inequality -4 < x < 3
Intersection from open dot on -4 to open dot on 3.
Absolute value inequalities that are "less than" type make this kind of compound inequality.
"AND"
Name a difference between a linear inequality and a linear equation.
Inequality symbols, flipping when negative, dashed vs. dotted lines, shading...
Graph the inequality 2x + 9 < 15
Closed dot on 3. Go to the left.
Graph this compound inequality: x<-6 or x>7
What is closed dot from -6 toward negative infinity and closed dot from 7 to infinity?
Absolute value inequalities that make "OR" inequalities are this type.
Greater than. Greater than or equal to.
How do you know when to use a dashed vs solid line?
Dashed: not equal to.
Solid line: equal to.
Graph the inequality x - 9 > -7
Closed dot on 2. Go to the right.
Solve: -3 < 2g-4 < -1
1/2 < g < 3/2
Solve. -3 + |n -2| > 5
n > 10 or n < -6
How do you know where to shade when solving linear inequalities?
Test a point in the equations. If it's true, shade toward the point. If false, shade away.
Solve. a + 15 < 9
a < -6
Solve: -4 < -f/3 - 5 < -1
-3 > f > -12
Solve. |3 + x| / 7 < 35.
-38 < x < 32
Graph the following inequality on a coordinate plane.
x + y > -4
Dashed line with the shading moving up and right from the line.
Graph the inequality -x/3 + 17 < 18.
Closed dot on -3. Go to the right.
Solve. -4 < -3t + 17 < 20
7 > t > -1
Solve. -8 - |4v - 7| < -17.
v > 4 or v < -1/2
Which point is a solution to the inequality:
3x - 8y > 12
a) (-3, 2)
b) (0, 0)
c) (1, 4)
d) (3, -5)
Bonus: Graph the inequality.
(3, -5)