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

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality d + 7 ≥ 30?

Back

Subtract 7 from both sides: d ≥ 30 - 7, so d ≥ 23.

Front

What is the solution set for the inequality x ≤ 60?

Back

The solution set includes all numbers less than or equal to 60.

Front

How do you represent the speed limit of 60 km/hr as an inequality?

Back

x ≤ 60, where x is the speed of a vehicle.

Front

What does the inequality 6 > x represent?

Back

It means that x is any number less than 6.

Front

How do you solve the inequality -13t > 26?

Back

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

Front

What is the solution set for the inequality 2x ≤ -6?

Back

The solution set includes all values of x that satisfy x ≤ -3.

Front

What does the inequality t < -2 mean?

Back

It means that t is any number less than -2.