Multistep Inequalities - solve, graph, identify solutions

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -138 ≥ -6(6b − 7)?

Back

First, distribute -6: -138 ≥ -36b + 42. Then, subtract 42 from both sides: -180 ≥ -36b. Finally, divide by -36 (remember to flip the inequality): b ≥ 5.

Tags

CCSS.7.EE.B.4B

Front

What does the solution x < 1 represent in a graph?

Back

It represents all the values to the left of 1 on a number line, not including 1 itself.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 3(y + 5) ≥ 21?

Back

First, distribute 3: 3y + 15 ≥ 21. Then, subtract 15 from both sides: 3y ≥ 6. Finally, divide by 3: y ≥ 2.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality 6x + 2 < 14?

Back

Subtract 2 from both sides: 6x < 12. Then, divide by 6: x < 2.

Tags

CCSS.7.EE.B.4B

Front

What does the inequality x ≤ -11 mean?

Back

It means that x can be any number less than or equal to -11.

Tags

CCSS.6.EE.B.8

Front

How do you graph the solution x ≥ -7?

Back

Draw a number line, place a closed circle on -7, and shade to the right to indicate all numbers greater than or equal to -7.

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving the inequality 2x - 3 < 7?

Back

Add 3 to both sides: 2x < 10.

Tags

CCSS.7.EE.B.4B

Front

What does the term 'flipping the inequality' mean?

Back

It means reversing the direction of the inequality sign when multiplying or dividing by a negative number.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 4x + 8 ≥ 24?

Back

Subtract 8 from both sides: 4x ≥ 16. Then, divide by 4: x ≥ 4.

Tags

CCSS.6.EE.B.8