Solve the Compound Inequality and Graph the Solution Set on a Number

question 31

Multiple Choice

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation.
- $\mathrm { X } > 4 \mathrm { Or } x < 4$

• A) \(( - \infty , 4 )\)
• B) \(\left( \frac { 4 } { 4 } ( x ) \right)\)
• C) \(\phi\)
• D) \(( - \infty , 4 ) \cup ( 4 , \infty )\)

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Definitions:

Deductive Reasoning

A logical process in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Inductive Reasoning

A logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion.

Subgoaling

A strategy in which a larger goal is divided into smaller, more manageable goals, facilitating easier achievement of the overall objective.

Algorithms

Fixed, step-by-step procedures for solving problems or completing tasks, often used in computing and mathematical operations for guaranteed solutions.