Solving 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

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

Write an inequality for the statement: 'We need to make at least $10,000.'

Back

x ≥ 10000.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77; then divide by 7: n > 11.

Front

How do you graph the inequality 6 > x?

Back

Graph a number line and shade to the left of 6, indicating that x can be any number less than 6.

Front

What does the solution x < 10 represent?

Back

It represents all numbers less than 10.

Front

If x ≥ 5, what are some possible values for x?

Back

Possible values include 5, 6, 7, 8, etc.

Front

What is the first step in solving the inequality 3x + 2 < 11?

Back

Subtract 2 from both sides: 3x < 9.