Use interval notation whenever possible for the remaining exercises. Exercises 49-52: Solve the

step 1 Okay, 48. We have 3 .X minus 8, minus 2, 10 minus x, greater than equal to 5, x minus 1. Oh, we

Use interval notation whenever possible for the remaining...

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Key Concepts

Linear Inequalities

These involve expressions in which the variable is raised only to the first power and are solved by isolating the variable using algebraic operations. Care must be taken with operations that involve negative numbers, as they require flipping the inequality sign.

Compound Inequalities

These are inequalities that combine two or more individual inequalities using logical connectors like 'and' or 'or'. In 'or' compound inequalities, a value is included in the solution if it satisfies at least one of the individual inequalities, resulting in a union of solution sets.

Interval Notation

This is a method for expressing solution sets of inequalities using intervals, where the endpoints are noted with brackets or parentheses to indicate whether they are included or excluded from the set.

Graphing on a Number Line

This involves visually representing an inequality's solution set by marking the corresponding intervals on a number line. Endpoints are shown with open or closed circles depending on whether the inequality is strict or includes equality.

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