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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

Front

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

Back

x < 24.

Tags

CCSS.7.EE.B.4B

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.7.EE.B.4B

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.7.EE.B.4B

Front

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

Back

x > 2.

Tags

CCSS.7.EE.B.4B

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.

Tags

CCSS.6.EE.B.8