A 5.2 (P2)

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 in an inequality?

Back

'≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to a specified number.

Front

What does the symbol '≤' mean in an inequality?

Back

'≤' means 'less than or equal to', indicating that the value can be either less than or equal to a specified number.

Front

How do you represent the inequality x ≥ -6 on a number line?

Back

You place a closed dot on -6 and shade to the right, indicating all numbers greater than or equal to -6.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

The solution is x ≤ -5.

Front

When graphing the inequality x > 5, how is the endpoint represented?

Back

The endpoint is represented with an open dot on 5, indicating that 5 is not included in the solution.

Front

What is the difference between 'x < -6' and 'x ≤ -6'?

Back

'x < -6' means x is less than -6 (not including -6), while 'x ≤ -6' means x is less than or equal to -6 (including -6).

Front

How do you solve the inequality 5x - 4 > 21?

Back

Add 4 to both sides to get 5x > 25, then divide by 5 to find x > 5.

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number at that point is included in the solution set of the inequality.

Front

What does an open dot on a number line indicate?

Back

An open dot indicates that the number at that point is not included in the solution set of the inequality.