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.

Front

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

Back

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

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.

Front

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

Back

Multiply both sides by 5 to get X ≥ 35.

Front

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

Back

Subtract 15 from both sides to find h ≥ 9.

Front

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

Back

Add 3 to both sides to find x ≤ 13.

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.

Front

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

Back

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

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.

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.