Solve the Rational Inequality and Graph the Solution Set on a Real

question 148

Multiple Choice

Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval
notation.
- $$\frac { ( x + 5 ) ( x - 2 ) } { x - 1 } \geq 0$$

• A) \([ - 5,1 ) \cup [ 2 , \infty )\)
• B) \(( - \infty , - 5 ] \cup ( 1,2 ]\)
• C) \(( - \infty , - 5 ] \cup [ 2 , \infty )\)
• D) \([ - 5,1 ] \cup [ 2 , \infty )\)

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Definitions:

Sedimentary Sequence

A chronological order of sedimentary rocks laid down in layers, reflecting the history of sediment deposition over time.

Shale

A type of fine-grained sedimentary rock that splits into thin layers, formed from mud composed of clay and other minerals.

Sandstone

A clastic sedimentary rock composed mainly of sand-sized mineral particles or rock fragments.

Rounded Pebbles

Smooth, round stones typically formed by the prolonged action of water or other forms of erosion and weathering on rocks.