12.6.24 Per 4 One-step Inequalities

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8, remembering to reverse the inequality sign: x > -6.

Tags

CCSS.6.EE.B.8

Front

What does the inequality k/-12 ≤ -7 mean?

Back

It means that k must be greater than or equal to 84 after multiplying both sides by -12 and reversing the inequality sign.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality X/5 ≥ 7?

Back

Multiply both sides by 5 to get X ≥ 35.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides to find h ≥ 9.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides to find x ≤ 13.

Tags

CCSS.7.EE.B.4B

Front

What is the significance of reversing the inequality sign when multiplying or dividing by a negative number?

Back

Reversing the inequality sign ensures that the relationship between the two sides of the inequality remains true.

Tags

CCSS.6.EE.B.8

Front

What is the solution set for the inequality x < -6?

Back

The solution set includes all real numbers less than -6.

Tags

CCSS.6.EE.B.8

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that can satisfy the inequality, such as x < x.

Tags

CCSS.8.EE.C.7A

Front

What is the graphical representation of an inequality?

Back

An inequality can be represented on a number line with an open or closed circle and a shaded region indicating the solution set.

Tags

CCSS.6.EE.B.8