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Hannah Solves It! Inequalities with Addition & Subtraction that’s me Y – 6 < -10 Touch for answer 2 + x > 11 3 71g – 70g < -7

Hannah Solves Inequalities

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Page 1: Hannah  Solves Inequalities

Hannah Solves It!Inequalities with

Addition & Subtraction

that’s me

Y – 6 < -10

Touch for

answer

2 + x > 113

71g – 70g < -7

Page 2: Hannah  Solves Inequalities

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

Page 3: Hannah  Solves Inequalities

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

Page 4: Hannah  Solves Inequalities

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

Page 5: Hannah  Solves Inequalities

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…

Page 6: Hannah  Solves Inequalities

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

Page 7: Hannah  Solves Inequalities
Page 8: Hannah  Solves Inequalities

Ms. Umberger

Transition to Algebra

Don’t panic when you see an inequality you would be amazed how easy they are!!

CLASS INFORMATION