Solving, Graphing, and Translating Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be either less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be either greater than or equal to the value on the right.

Front

How do you write an inequality for a maximum speed limit of 55?

Back

s ≤ 55, where s represents the speed.

Front

Translate the phrase 'the quotient of y and a number 5 plus 3 is no more than 38' into an inequality.

Back

Front

Solve the inequality: 6 - 2h > 30.

Back

h < -12.

Front

Graph the inequality: -\frac{1}{2}y + 4 ≤ 6.

Back

y ≥ -4.

Front

Translate the phrase 'four times a number increased by 7 is at least 19' into an inequality.

Back

4x + 7 ≥ 19.

Front

What is the first step to solve the inequality 4x + 7 ≥ 19?

Back

Subtract 7 from both sides: 4x ≥ 12.

Front

What is the next step after 4x ≥ 12 to solve for x?

Back

Divide both sides by 4: x ≥ 3.