Algebra 1 Chapter 2 Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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 -3 ≤ 2x - 1 ≤ 5?

Back

Add 1 to all parts: -2 ≤ 2x ≤ 6. Then divide by 2: -1 ≤ x ≤ 3.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities using 'and' or 'or'.

Front

Solve the compound inequality: 3x - 4 < -13 or 7x + 1 > 22.

Back

x < -3 or x > 3.

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

n ≥ 20.

Front

Write an inequality for the statement: 'Anita needs at least a 90 grade (g) on her test.'

Back

g ≥ 90.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means representing the solutions of the inequality on a number line.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.