Inequalities and Intervals
\pi \cdot \pi
\pi \cdot \pi
Types of Inequalities
-
Less than
-
In inequalities, use \(<\)
-
In graphs, use \(\circ\)
-
In intervals, use parenthesis ( )
\pi \cdot \pi
Types of Inequalities
\(x<5\)
\pi \cdot \pi
Types of Inequalities
\(x<5\)
5
\pi \cdot \pi
Types of Inequalities
\(x<5\)
5
\pi \cdot \pi
Types of Inequalities
\(x<5\)
5
\pi \cdot \pi
Types of Inequalities
\(x<5\)
5
\((-\infty,5)\)
\pi \cdot \pi
Types of Inequalities
-
Greater than
-
In inequalities, use \(>\)
-
In graphs, use \(\circ\)
-
In intervals, use parenthesis ( )
\pi \cdot \pi
Types of Inequalities
\(x>5\)
\pi \cdot \pi
Types of Inequalities
\(x>5\)
5
\pi \cdot \pi
Types of Inequalities
\(x>5\)
5
\pi \cdot \pi
Types of Inequalities
\(x>5\)
5
\pi \cdot \pi
Types of Inequalities
\(x>5\)
5
\((5, \infty)\)
\pi \cdot \pi
Types of Inequalities
-
Less than or equal to
-
In inequalities, use \(\leq\)
-
In graphs, use ⬤
-
In intervals, use brackets [ ]
\pi \cdot \pi
Types of Inequalities
\(x\leq5\)
\pi \cdot \pi
Types of Inequalities
\(x\leq5\)
5
\pi \cdot \pi
Types of Inequalities
\(x\leq5\)
5
\pi \cdot \pi
Types of Inequalities
\(x\leq5\)
5
\pi \cdot \pi
Types of Inequalities
\(x\leq5\)
5
\((-\infty,5]\)
\pi \cdot \pi
Types of Inequalities
-
Greater than or equal to
-
In inequalities, use \(\geq\)
-
In graphs, use ⬤
-
In intervals, use brackets [ ]
\pi \cdot \pi
Types of Inequalities
\(x\geq5\)
\pi \cdot \pi
Types of Inequalities
\(x\geq5\)
5
\pi \cdot \pi
Types of Inequalities
\(x\geq5\)
5
\pi \cdot \pi
Types of Inequalities
\(x\geq5\)
5
\pi \cdot \pi
Types of Inequalities
\(x\geq5\)
5
\([5, \infty)\)
\pi \cdot \pi
Dealing with Inequalities
-
Always make sure the variable is on the left side of the inequality.
-
Arrow goes in the direction of the inequality IF THE VARIABLE IS ON THE LEFT.
-
When reading a graph, you always read from left to right.
-
When writing an interval, always use parenthesis around \(-\infty\) and \(\infty\). The smaller number always goes on the left.
-
Include starts with I which looks like ][.
Inequalities and Intervals
By Anurag Katyal
Inequalities and Intervals
- 147
