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What I’ve Learned About Grade 9 Inequalities

Definition of inequalities

Inequalities happen when two things are imbalanced or not equal to each other. The symbols it uses are like this (≠,<,>, ≤, ≥)

 

Here’s an example of an inequality equation:

2x – 3 ≤  -14x + 5

To solve this equation easier and quicker, start by doing zero pairs on both sides.

 

 

 

 

 

 

 

Then, divide both sides by the coefficient.

If possible, write it the lowest term like the one above where I divided eight at the numerator and the denominator.

If there is a bracket and a fraction in an inequality equation, we will use the BFSD rule which stands for Brackets, Fractions, Sort, Divide but to make it easier to remember, it’s called, “Best Friends Share Dessert.”

Example:

\frac{1}{4} (x + 8) < 2(6x – 1)

To do this equation, the BFSD rule must be followed in the right order, so start with the B which stands for Brackets. When doing the brackets, the goal is to get rid of it by using the distributive property.

 

 

Now let’s move on to F or Fractions and to do this, we must find the common denominator which is 4, and afterward, get rid of the denominators by multiplying itself.

 

 

 

 

 

Then we have S or Sort which means we have to sort the equation by doing zero pairs.

 

 

 

 

 

Lastly, the D or Divide part whereas we have to divide both sides by the coefficient.

 

 

 

 

 

To check if your solution is right, there are two parts to complete it:

The first part is when you substitute a number that we found on the solution for x and change the symbol to an equal sign.

 

 

 

 

 

 

 

 

 

 

 

 

 

This is the second part where you find an x value that will be a true statement to the solution.

Published inMath 9

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