Inequalities tell us that two sides are not equal. They're the opposite of equations.
For example:
3 < 5
Inequalities use the comparison symbols > and <.
If the left side is bigger, we use the greater than (>).
If the left side is smaller, we use less than (<).
Inequalities may have operations like addition, subtraction, multiplication and even division in them.
1 + 3 < 5
Which side is greater?
To find out, we need to simplify the expression on the left.
If we add 5 + 2, we get 7.
7 is less than 9.
That means the left side is less than the right side.
We write the less than sign in the middle to make this statement true. ✅
Which side is greater?
We need to simplify the expressions on both sides before we can compare them.
The left side is greater than the right side. ✅
Good job! 🎉
Which side is greater?
What should you do first? 🤔
👉 Yes! Simplify the expressions.
Let's start with the left side first.
There are two operations 🙈. Which one do we solve first?
Always follow the order of operations.
So, which do we do first? 🤔
We don't see any parenthesis, or exponents.
There's no multiplication, but we do see division!
So, we divide first.
The next step is to subtract 3 from 5.
Awesome.
Now, let's do the operations on the right side.👉
We see addition and multiplication.
Which one do we do first? 🤔
You got it! 😀 Multiplication comes before addition.
We see that the left side is less than the right side.
Now we complete the statement with the less than sign.
Tip: if you don't follow the order of operations, you won't get the right answer.
Great work! 👏
Now, ace the practice.