Algebra 1 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

Solve: 7(x + 3) < 5x + 13

Back

x < -4

Front

Solve the inequality: 4(5x + 2) ≤ 28

Back

x ≤ 1

Front

What does it mean when an inequality has no solution?

Back

It means that there are no values that can satisfy the inequality.

Front

Solve: -5h + 2 ≥ -8

Back

h ≤ 2

Front

What is the first step in solving the inequality 12x + 400 < 1200?

Back

Subtract 400 from both sides to isolate the term with x.

Front

What is the solution to the inequality -2(5 + 6n) < 6(8 − 2n)?

Back

Infinitely many solutions.

Front

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

Back

It means 'less than or equal to'.

Front

How do you check if your solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is the importance of reversing the inequality sign?

Back

The inequality sign must be reversed when multiplying or dividing both sides by a negative number.