Solving 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 an inequality?

Back

To isolate a variable in an inequality, perform inverse operations on both sides of the inequality, just like you would in an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does it mean when an inequality is written as x > a?

Back

It means that the value of x is greater than a, indicating that x can take any value larger than a.

Front

What does it mean when an inequality is written as x < a?

Back

It means that the value of x is less than a, indicating that x can take any value smaller than a.

Front

What is the solution to the inequality -3 - 6(4x + 6) > -111?

Back

x < 3.

Front

What is the solution to the inequality 9 ≥ -2m + 2 - 3?

Back

m ≥ -5.

Front

How do you represent a real-world situation as an inequality?

Back

Identify the maximum or minimum limits in the situation, define the variable, and write an inequality that reflects those limits.

Front

What is the inequality that represents spending at most $1200 on a laptop with a $400 down payment?

Back

12x + 400 < 1200.

Front

What is the solution to the equation (2x - 3) / 4 = 9?

Back

x = 19.5.

Front

What does it mean when an inequality is written as x ≥ a?

Back

It means that the value of x is greater than or equal to a, indicating that x can take any value larger than or equal to a.