Graphing Inequalities

Front

What does the phrase 'at most' mean in terms of inequality?

Back

It means 'no more than', which corresponds to the inequality symbol ≤.

Front

When graphing an inequality, which symbols require a closed dot?

Back

The symbols ≤ and ≥ require a closed dot.

Front

Solve the inequality: 8 - 3k < 8(1 - 7k)

Back

k < 0.

Front

What inequality does the graph with a closed dot at -4 and shading to the left represent?

Back

x < -4.

Front

Solve the inequality: 10 < 3x + 19

Back

x > -3.

Front

What does the symbol '>' represent in inequalities?

Back

It means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

It means 'less than'.

Front

What is the difference between '≤' and '<'?

Back

'≤' includes the number (closed dot), while '<' does not (open dot).

Front

How do you graph the inequality x ≥ 2?

Back

Draw a number line, place a closed dot at 2, and shade to the right.

Front

What does the phrase 'no less than' mean in terms of inequality?

Back

It means 'greater than or equal to', which corresponds to the inequality symbol ≥.