I want to know the simplified version of this sentence its for my math project for Solving inequalities.

Question

To solve an inequality, use the properties of inequality to isolate the variable with a coefficient of 1 on one side of the inequality symbol. Then graph the solution on a number line to model the solution set, which contains all of the numbers that satisfy the inequality.

Answer 1

These are the (wordy) instructions for solving LINEAR INEQUALITIES.

 

It's just basic algebra such as adding opposites to both sides (to enable collecting 'like' terms on opposite sides of the inequality symbol).

Example; 2x + 5 ≤ 6x -3    

subtracting 2x from each side gives  5 ≤ 6x - 2x -3;

then adding 3 to each side gives 8 ≤ 4x .

Finally, divide both sides by 4 to get 2 ≤ x.  THIS MEANS x ≥2 (reading from right to left).  

 

This may be illustrated on a number line by writing a • at 2, and drawing from there an arrow pointing to the right (toward infinity).