Solve Inequalities (Addition and Subtraction)

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 x + 5 ≤ 19?

Back

Subtract 5 from both sides: x ≤ 14.

Front

What is the solution set of x + 5 ≤ 19 on a number line?

Back

The solution set includes all numbers less than or equal to 14.

Front

If x + 8 ≥ 13, what is the value of x?

Back

x ≥ 5.

Front

Determine if x = 1 makes the inequality x + 8 ≥ 13 true or false.

Back

False, because 1 + 8 = 9, which is not greater than or equal to 13.

Front

How do you solve the inequality s + 1 ≥ -5?

Back

Subtract 1 from both sides: s ≥ -6.

Front

What does the statement '7 is less than a number' translate to in inequality form?

Back

x > 7.

Front

What is the first step in solving an inequality?

Back

Identify the inequality symbol and isolate the variable.