Question

3. Write an inequality or compound inequality to describe each of the following graphs. Use the variables given. (2 points each)

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Answer 1

Part 67) x > -2x>−2 and x < 3x<3

Part 68) x\leq -1x≤−1 or x\geq 1x≥1

Explanation:

Part 67) we know that

The solution of the number line is the interval -------> (-2,3)

All real numbers greater than -2 and less than 3

so

The compound inequality could be

x > -2x>−2 and x < 3x<3

"And” indicates that, both statements must be true at the same time

Part 68) we know that

The solution of the number line is the interval (-∞,-1] ∪ [1,∞)

All real numbers less than or equal to -1 or all real numbers greater than or equal to 1

The compound inequality could be

x\leq -1x≤−1 or x\geq 1x≥1

"Or” indicates that, as long as either statement is true, the entire compound sentence is true