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 such as addition, subtraction, multiplication, or division.

Front

How do you isolate a variable in a multistep inequality?

Back

To isolate a variable in a multistep inequality, perform inverse operations in the reverse order of operations, ensuring to maintain the inequality's direction when multiplying or dividing by a negative number.

Front

What is the solution to the inequality 2x - 33 < 15?

Back

x < 24.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to the number.

Front

How do you solve the inequality x/6 + 13 ≥ 24?

Back

Subtract 13 from both sides to get x/6 ≥ 11, then multiply both sides by 6 to find x ≥ 66.

Front

What is the solution to the inequality 3x - (2 + 6x) ≤ -32?

Back

x ≥ 10.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than', indicating that the value on the left is smaller than the value on the right.

Front

How do you solve the inequality 6(n - 2) < -72?

Back

First, divide both sides by 6 to get n - 2 < -12, then add 2 to both sides to find n < -10.

Front

What is the solution to the inequality 17x - 4 > 30?

Back

x > 2.

Front

What is the importance of checking your solution in an inequality?

Back

Checking your solution ensures that the values satisfy the original inequality, confirming that the solution is correct.