9.3 Solve 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'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: 10 + 3 ≥ x, which simplifies to 13 ≥ x or x ≤ 13.

Front

What is the solution to the inequality -13t > 26?

Back

Divide both sides by -13 (remember to flip the inequality): t < -2.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40, then divide by -4 (flip the inequality): x ≥ -10.

Front

If a student has collected $7.00 and needs at least $30.00, what inequality represents the amount still needed?

Back

d + 7 ≥ 30, which simplifies to d ≥ 23.

Front

What is the first step in solving the inequality 2x + 5 < 15?

Back

Subtract 5 from both sides: 2x < 10.

Front

What is the solution to the inequality 3x - 4 ≥ 5?

Back

Add 4 to both sides: 3x ≥ 9, then divide by 3: x ≥ 3.

Front

What does it mean if x < 5?

Back

It means that x can be any number less than 5.