Algebra 1 Chapter 3 Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

How do you represent a budget constraint using an inequality?

Back

You can represent a budget constraint by creating an inequality that includes all costs, such as 'total cost ≤ budget'.

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'.

Front

What is the first step in solving an absolute value inequality like |x| < a?

Back

The first step is to separate it into two inequalities: -a < x < a.

Front

What does it mean if an equation has 'no solution'?

Back

It means there are no values of the variable that can satisfy the equation.

Front

How do you solve the inequality 2x + 10 ≤ 25?

Back

Subtract 10 from both sides to get 2x ≤ 15, then divide by 2 to find x ≤ 7.5.

Front

What is the solution set for the inequality x - 4 < 6?

Back

The solution set is x < 10.

Front

What does 'or' mean in a compound inequality?

Back

'Or' means that at least one of the inequalities must be true for the solution to be valid.

Front

What is the solution to the inequality 4|m| = -20?

Back

There is no solution because absolute values cannot be negative.