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1.7 Solving Inequalities
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How to graph and solve inequalities on a number line.
Key Concepts:
Terms in this set (28)
Solve: 2n+6<4
n<-1
Graph: open circle at -1, shade to the left
Solve: 5n - 4 < 11
n < 3
Graph: open circle at 3, shade to the left
Solve: 2x+5<6
x<1/2 or x<0.5
If the inequality is 2<x, which way do you draw the arrow on the number line?
Towards the larger numbers (right)
Solve: -7x < 21
x > -3
Graph: open circle at 3, shade to the left
Solve: 42>6+9x
4>x
Graph: open circle at 4, shade to the left
When graphing < and > uses what type of circle?
open circle
When < and > underlined is what type of circle?
closed circle
If you are multiplying or dividing a_____you always switch the inequality.
negative
Solve: 2x + 1 < 7
x < 3
Graph: open circle at 3, shade to the left
Solve: n-5/<15
n<20
Graph: open circle at 20, shade to the left
Solve: 2x<9
X<4.5
Graph: open circle at 4.5, shade to the left
Solve: x+4>24
x>20
Graph: open circle at 20, shade to the right
Solve: -2x < 10
x > -5
Graph: open circle at -5, shade to the right
Solve: 2x < -10
x < -5
Graph: open circle at -5, shade to the left
Solve: -5x + 10 < 30
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: 3-2x>17
x < -7
Graph: open circle at -7, shade to the left
If the inequality is -8<x, which way do you draw the arrow on the number line?
open circle at -8, and then shade towards the larger numbers (right)
If the inequality is -4>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 8>x, which way do you draw the arrow on the number line?
open circle at 8, and then shade towards the smaller numbers (Left)
< stands for
less than
< that is underline stands for
less than or equal to
> stands for
greater than
> that is underline stands for
greather than or equal to
Does a line under < change the direction on the arrow?
no
Does a line under > change the direction on the arrow?
no
The inequality will change only if the ___________ is negative.
coefficient (when you multiply or divide by a negative number you must switch the direction of the equality)
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