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

question 53

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.
- $- 7 x > - 7$ and $x + 7 > 5$

• A)\( ( 1 , \infty )\)
• B) \(( - 2,1 )\)
• C)\( ( - \infty , - 2 ) \cup ( 1 , \infty )\)
• D)\(\phi\)

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Definitions:

Perceptual Systems

The sensory systems involved in processing and interpreting information from the environment, such as vision, hearing, touch, taste, and smell.

Concrete Operational

A stage in Piaget's theory of cognitive development, occurring from about 7 to 12 years of age, where children gain the ability to think logically about concrete events.

Formal Operational

The stage in Piaget's theory of cognitive development where individuals are able to think abstractly, logically, and systematically.

Preoperational

A stage in Jean Piaget's theory of cognitive development, where children from 2 to 7 years old develop memory and imagination, but do not yet think logically.