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 represent a real-world scenario as an inequality?

Back

Identify the variables, constants, and relationships in the scenario, then translate them into an inequality using appropriate mathematical symbols.

Front

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

Back

'≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

What is the first step in solving the inequality 2.50x + 5 ≤ 20?

Back

Subtract 5 from both sides to isolate the term with the variable: 2.50x ≤ 15.

Front

What is the solution to the inequality 4(5x + 2) ≤ 28?

Back

x ≤ 1.

Front

How do you solve the inequality 3 < -5n + 2n?

Back

Combine like terms to get 3 < -3n, then divide by -3 (remember to flip the inequality sign): n < -1.

Front

What does the solution h ≤ 2 represent in a real-world context?

Back

It indicates that the value of h can be 2 or any number less than 2.

Front

How do you isolate the variable in the inequality a − 6 ≤ 15 + 8a?

Back

Add 6 to both sides and then subtract 8a from both sides to isolate a.

Front

What is the solution to the inequality -5h + 2 ≥ -8?

Back

h ≤ 2.

Front

What does the inequality a ≥ -3 signify?

Back

It means that the value of a can be -3 or any number greater than -3.