Multistep inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.

Front

How do you solve the inequality 6x + 2 < 14?

Back

Subtract 2 from both sides: 6x < 12. Then divide by 6: x < 2.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

Is x = 9 a solution to the inequality x > 9?

Back

FALSE, because 9 is not greater than 9.

Front

What is the solution to the inequality x/6 + 13 ≥ 24?

Back

x ≥ 66.

Front

How do you isolate x in the inequality 5(6 + 3r) + 7 ≥ 127?

Back

First, simplify: 30 + 15r + 7 ≥ 127. Then, combine like terms: 15r ≥ 90, so r ≥ 6.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What is the first step in solving the inequality 2x - 3 < 5?

Back

Add 3 to both sides: 2x < 8.

Front

What is the solution to the inequality 3x + 4 > 10?

Back

x > 2.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.