Solve each inequality and check your solution. Then graph the solution on a number line. -3(b-1)

step 1 I'm going to start this problem by drawing this wall down my inequality symbol to keep my work m

Solve each inequality and check your solution. Then graph...

Key Concepts

Solving Linear Inequalities

This concept involves isolating the variable on one side of the inequality through operations similar to those used in solving equations. It emphasizes performing legal operations (addition, subtraction, multiplication, division) across both sides while preserving the inequality's relationship.

Distributive Property

The distributive property allows you to multiply a single term by each term within parentheses, which is a useful algebraic tool to simplify expressions. It helps in rewriting and expanding inequality expressions so that the variable can be isolated.

Inequality Reversal Rule

When both sides of an inequality are multiplied or divided by a negative number, the direction of the inequality sign must be reversed. This rule is crucial when isolating the variable to ensure the solution remains valid.

Graphing on a Number Line

After determining the solution set, graphing the inequality on a number line visually represents all the possible values that satisfy the inequality. This ensures a clear understanding of the range and inclusion or exclusion of endpoints.

Solution Verification

Checking the solution by substituting values from the determined interval back into the original inequality confirms that the solution is correct. This step is essential for validating the result and ensuring no mistakes were made during the solving process.

Transcript

Please give Ace some feedback