Intro To Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you graph the inequality r ≥ -6?

Back

To graph r ≥ -6, draw a solid dot on -6 and shade to the right, indicating all values greater than -6.

Front

What is the solution set for the inequality x < 6?

Back

The solution set for x < 6 includes all real numbers less than 6.

Front

How do you represent the inequality b > -2 on a number line?

Back

To represent b > -2, draw an open dot on -2 and shade to the right, indicating all values greater than -2.

Front

What is the difference between 'b < -2' and 'b ≤ -2'?

Back

'b < -2' means b is less than -2 (not including -2), while 'b ≤ -2' means b is less than or equal to -2 (including -2).

Front

If a graph shows a solid line at x = 3, what inequality does it represent?

Back

The graph represents the inequality x ≥ 3.

Front

If a graph shows an open circle at -1 and shading to the left, what inequality does it represent?

Back

The graph represents the inequality x < -1.

Front

What does the inequality b ≤ -2 indicate about the value of b?

Back

The inequality b ≤ -2 indicates that b can be -2 or any value less than -2.