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48. a. graph the inequality (x > 2) or (x = 2). b. write an inequality …

Question

  1. a. graph the inequality (x > 2) or (x = 2). b. write an inequality equivalent to (x > 2) or (x = 2).

Explanation:

Step1: Graph the inequality for part a

On a number - line, put a closed circle at \(x = 2\) (because \(x=2\) is included) and draw an arrow to the right of \(x = 2\) to represent \(x>2\).

Step2: Find equivalent inequality for part b

The inequality \((x > 2)\text{ or }(x = 2)\) is equivalent to \(x\geq2\).

Answer:

a. On a number - line, place a closed circle at \(x = 2\) and draw an arrow to the right of \(x = 2\).
b. \(x\geq2\)