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Solving and graphing Inequalities
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How to graph and solve inequalities on a number line.
Terms in this set (31)
less than
< stands for
n≤-1
Graph: closed circle at -1, shade to the left
Solve: 2n+6≤4
n>3
Graph: open circle at 3, shade to the right
Solve: 5n-4>11
x<1/2 or x<0.5
Solve: 2x+5<6
Towards the larger numbers (right)
If the inequality is 2<x, which way do you draw the arrow on the number line?
x<3
Graph: open circle at 3, shade to the left
Solve: -7x>-21
4≥x
Graph: closed circle at 4, shade to the left
Solve: 42 ≥ 6+9x
open circle
When graphing < and > uses what type of circle?
closed circle
When < and > underlined is what type of circle?
Negative
If you are multiplying or dividing a_____you always switch the inequality.
x < 3
Graph: open circle at 3, shade to the left
Solve: 2x + 1 < 7
n<20
Graph: open circle at 20, shade to the left
Solve: n-5/<15
X<4.5
Graph: open circle at 4.5, shade to the left
Solve: 2x<9
x>20
Graph: open circle at 20, shade to the right
Solve: x+4>24
x ≥ -5
Graph: closed circle at -5, shade to the right
Solve: -2x ≤ 10
x ≤ -5
Graph: closed circle at -5, shade to the left
Solve: 2x ≤ -10
x > -4
Graph: open circle at -4, shade to the right
Solve: -5x + 10 < 30
x < -4
Graph: open circle at -4, shade to the left
Solve: 5x - 10 < -30
x < -7
Graph: open circle at -7, shade to the left
Solve: 3-2x>17
open circle at -8, and then shade towards the larger numbers (right)
If the inequality is -8<x, which way do you draw the arrow on the number line?
open circle at -4, and then shade towards the smaller numbers (Left)
If the inequality is -4>x, which way do you draw the arrow on the number line?
open circle at 8, and then shade towards the smaller numbers (Left)
If the inequality is 8>x, which way do you draw the arrow on the number line?
less than or equal to
≤ stands for
greater than
> stands for
greater than or equal to
≥ stands for
no
Does a line under < change the direction on the arrow?
coefficient (when you multiply or divide by a negative number you must switch the direction of the equality)
The inequality will change only if the ___________ is negative.
Jack wants to get a c on every test this year, to get a C or better, he must get at least 70% on all his tests. Write an inequality to for what test percentage he needs to get a c on every test.
x≥70
Mr. Mattingly wears a jacket only when the temperature is less than 45 degrees. Write an inequality for what temperature Mr. Mattingly will wear his jacket.
t<45
Mr. Kelly always likes to have more than $25000 in his bank account. He is rollin' in the dough. Write an inequality to represent the balance of Mr. Kelly's bank account.
x>25000
Johnny doesn't like drinking really warm water, he wont drink it unless it is at most 70 degrees. Write an inequality for what temperature he will drink the water.
x≤70
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