Advacned Math {Inequalities Review}

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 u/7 – 1 ≤ 1?

Back

Add 1 to both sides: u/7 ≤ 2. Then multiply both sides by 7: u ≤ 14.

Front

What is the maximum speed limit represented as an inequality?

Back

s ≤ 55, where s is the speed.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality -3x ≥ 12.

Back

Divide both sides by -3 and flip the sign: x ≤ -4.

Front

What is the solution to the inequality 7k – 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7. Then divide by 7: k ≥ -1.

Front

How do you solve the inequality 7 - 3n ≥ -53?

Back

Subtract 7 from both sides: -3n ≥ -60. Then divide by -3 and flip the sign: n ≤ 20.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality.