One-step Inequalities
Solve for x.
x + 4 > 7
x > 3
2n + 4 ≥ 6
n ≥ 1
x + 4 = -8
x = -12
−9x + 1 = −80
x = 9
True Or False: When you multiply or divide values on both sides by a Positive number the inequality will need to be reverse.
False
Solve for n.
n - 5 < 8
n < 13
Solve for m.
9m - 3 ≤ 15
m ≤ 2
n - 5 = -15
n = -10
−15 = −4m + 5
m = 5
What happens to the inequality sign when dividing or multiplying by a negative number?
The inequality sign flips.
What’s solution for the inequality below in words, notation and graphically?
b - 7 < 22
Words: The solution is all real numbers less than 29.
Notation: {b real | b < 29}
Graphically: open circle on 29, arrow pointing to the left
Solve for a.
7a - 21 > 0
-21 + 7a
-6p = 18
p = -3
10 − 6v = −104
v = 19
When is the fast test?
May
Solve for b.
-1 + b < 5
b < 4
Solve for g.
4 - g > 10
g < -6
2 + m = -5
m = -7
−9x − 13 = −103
x = 10
What is Mrs. Louis Favorite Kind Of Math To Teach
Algebra
Geometry
Statistics
Calculus
Statistics
Solve for p.
8 + p ≤ -10
p ≤ -18
Solve for x.
-2(x + 6) < 12
x > -12
What’s solution for the equation below in words, notation and graphically?
y2 = -100
Words: No solution
Notation: { }
Graphically: Empty number line
−10 = 10(k − 9)
k = 8
When do we have closed or open circles for an inequality graph?
<, >: Open circle
≥, ≤: Closed circle