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

'≥' 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 5w ≥ 30?

Back

Divide both sides by 5: w ≥ 6.

Front

What is the solution set for the inequality x < 4?

Back

The solution set includes all numbers less than 4.

Front

How do you graph the inequality x ≥ -4 on a number line?

Back

Draw a solid dot on -4 and shade to the right.

Front

What is the first step to solve -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40.

Front

What is the final solution for the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

How do you represent the inequality 0.75n + 1.75 ≤ 20?

Back

Subtract 1.75 from both sides: 0.75n ≤ 18.25.

Front

What is the maximum number of hours you can park if the cost is $4.50 per hour and you have $18?

Back

You can park for x ≤ 4 hours.