Post on 24-May-2015
description
transcript
Hannah Solves It!Inequalities with
Addition & Subtraction
that’s me
Y – 6 < -10
Touch for
answer
2 + x > 113
71g – 70g < -7
An inequality is the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”
variable
< -10
Just like in an equation, when trying to solve an inequality, you need to isolate the
variable.
It just means you gotta get the variable on a side all by itself. Here, all you gotta do is
add 6 to both sides.
Y - 6+ 6 + 6
What on earth do I do first?It may be hard, but you gotta do it. So let’s just get to it!
Touch here for answer
Touch here for answer
A variable is a letter or symbol that represents a value…
Well, -6 + 6 = 0, so I guess that + 6 on the left side cancels everything but the
variable out…yay! The variable is isolated already!
< -10
Y - 6
+ 6 + 6
Touch here for answer
If you add 6 to -10 on the other side, you get -4. Wow! The inequality is
solved already!
Touch here for answer
Y < -4
A linear inequality in one variable is an inequality (1 variable) that can be written in the form ax + b < 0 or ax + b > 0, where a & b are real numbers and a ≠0.
Well, that was actually pretty easy. I wonder if the next inequality is going to make my brain start hurting…
+ x > 11Touch here
for answer
Touch here for answer
Well, just like the last inequality, we are going to need to isolate the variable. Wait a minute…this is just like last time! The only difference is
that there is a fraction instead of only whole numbers. All that we are going to have to do is subtract (we
added last time) 2/3 from both sides of the equation.
32 3
- 2
3
- 2
When the number you are trying to get rid of (to isolate the variable) is positive, subtract it from both sides of the inequality. When it is negative, add it to both sides.
+ x > 113
2 3
- 2
3
- 2
The - 2/3 on the left side of the inequality cancels out the + 2/3. That leaves our variable all alone
(which is what we wanted)!
Touch here to continue
On the left side of the inequality, you just subtract 2/3 from 11,
which is 10 1/3. There you go – that scary fraction inequality is solved
already!
Touch here to continue
x > 10 13
OK, I think I remember this…
Like Terms are terms whose variables (and their exponents such as the 2 in x2) are the same.
Touch here to continue
71g – 70g < -7
Like terms
That doesn’t look too bad!!
What are the like terms in this inequality? Well, probably the two
terms that end in “g!”
Touch here to continue
To combine like terms, just pretend like the “like” part isn’t there, and do the math. Here, we just subtract 70
from 71, which equals 1, or just plain “g.” Look at that, our inequality is
solved already!
g < -7
Ms. Umberger
Transition to Algebra
Don’t panic when you see an inequality you would be amazed how easy they are!!
CLASS INFORMATION