Question

Algebra 1 > P.7 Solve systems of linear inequalities by graphing SGH

Learn with an example
Solve the system of inequalities by graphing.
y ≥ 2
y < 4
Select a line to change it between solid and dotted. Se
104
9
-8

Answer 1

A graph of the system of inequalities is shown on the number line in the image attached below.

In Mathematics, an inequality is a relation that compares two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

• Less than or equal to (≤).
• Greater than (>).
• Greater than or equal to (≥).
• Less than (<).

Based on the information provided, we have the following system of inequalities;

y ≥ 2

y < 4

By rewriting the given system of inequalities as a compound inequality, the solution set is given by;

2 ≤ y < 4

In this context, a solid dot would be placed above the point 2 while a hollow dot would be placed above the point 4.