Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like >, <, ≥, or ≤.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality -10x + 5 ≥ 195?

Back

x ≤ -19.

Front

What is the first step in solving the inequality -2(1 - x) - 2 > -8 - 2x?

Back

Distribute -2 to both terms inside the parentheses.

Front

What is the solution to the inequality -2(x + 2) < 14?

Back

x > -9.

Front

How do you write 'You spend less than 2 hours on homework' as an inequality?

Back

x < 2.

Front

What is the solution to the inequality x + 3 > 10?

Back

x > 7.

Front

What does it mean to isolate the variable in an inequality?

Back

Isolating the variable means to get the variable by itself on one side of the inequality.

Front

What is the solution to the inequality 3x - 4 ≤ 5?

Back

x ≤ 3.