Simple Inequalities
The value of X, given that 4x-3<-7
X<-1
The value of X, given that 16<x+12<20
4<x<8
The value of X, given that 3x - 5 < 10 or 2x + 4 < 14
X<5 or X<5
The value of X, given that 6-3/4x>-4
X>40/3
What does it mean when there is a line underneath the greater than or less than sign?
It means that a number can be greater than or less than(depending on the sign), or EQUAL TOO!
The value of X, given that 2x+10>-6
X>-8
The value of X, given that 24>3x+6>9
6>x>1
The value of X, given that 3x-6<18 or 2x-6<12
X<8 or x<9
The value of X, given that -9>-1/3x+6
X>45
What do inequalities do?
Inequalities are used to compare two values or expressions.
The value of X, given that 3x-5<-2x+5
x<2
The value of X, given that 34>3x-8>13
14>x>7
The value of X given that 7x-2>12 or 9x+3>12
The value of X, given that -7-2x=7(x + 8)
X=-7
What do you do when you multiply or divide by a negative?
You flip the sign!
The value of X, given that 7x+2<-3x+12
X<1
The value of X, given that 25<4x+9>13
4>x>1
The value of X, given that 12x-6<2 or 10x-2<3
X<3/4 or X<2
The value of X, given that 3/5x-3>3/10x-9
X>-20
What does it mean in an AND question when the two lines are going the opposite way from each other?
It means that the answer is NO SOLUTION!
The value of X, given that -6x+13>-x-17
x<6
The value of X, given that 14>4x-2<22
4<x<6
The value of X, given that 16x-12<4 or 12x+8<20
X<1 or X<1
The value of X, given that 3/5(2x-5)>4(7-1/5x)
X>31/2
In an "or" question when you are graphing it, where do you want to shade?
You want to shade under every region of space that the lines make up; even if they facing away from each other or intersecting with each other.