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 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

What does the solution x ≥ -4 represent on a number line?

Back

It represents all numbers greater than or equal to -4, including -4 itself.

Front

What is the first step to solve the inequality 5(6 + 3r) + 7 ≥ 127?

Back

Distribute 5 to both terms inside the parentheses: 30 + 15r + 7 ≥ 127.

Front

What is the solution to the inequality 5(6 + 3r) + 7 ≥ 127?

Back

r ≥ 6.

Front

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

Back

FALSE, because 9 is not greater than 9.

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.

Front

What is the solution to the inequality 6x + 2 < 14?

Back

x < 1.

Front

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

Back

It means 'greater than or equal to'.

Front

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

Back

It means 'less than'.