Inequalities and Intervals

 

\pi \cdot \pi
\pi \cdot \pi

Types of Inequalities

  1. Less than

  2. In inequalities, use \(<\)

  3. In graphs, use \(\circ\)

  4. 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

  1. Greater than

  2. In inequalities, use \(>\)

  3. In graphs, use \(\circ\)

  4. 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

  1. Less than or equal to

  2. In inequalities, use \(\leq\)

  3. In graphs, use

  4. 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

  1. Greater than or equal to

  2. In inequalities, use \(\geq\)

  3. In graphs, use

  4. 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

  1. Always make sure the variable is on the left side of the inequality.

  2. Arrow goes in the direction of the inequality IF THE VARIABLE IS ON THE LEFT.

  3. When reading a graph, you always read from left to right.

  4. When writing an interval, always use parenthesis around \(-\infty\) and \(\infty\). The smaller number always goes on the left.

  5. Include starts with I which looks like ][. 

Inequalities and Intervals

By Anurag Katyal

Inequalities and Intervals

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