Compound Inequalities 1
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Question 1 of 4
1. Question
Choose the number line that represents the inequality`x≤-1` AND `x``>``3`Hint
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A compound inequality consists of two inequalities joined together by AND or OR.Plot `x≤``-1` first.The given inequality has a less than or equal to (`≤`) sign.Hence, place a solid circle above `-1` and attach an arrow pointing to the left to represent all values less than `-1`.
Next, plot `x``>``3`.The given inequality has a greater than (`>`) sign.Hence, place an empty circle above `3` and attach an arrow pointing to the right to represent all values greater than `3`.
Finally, combine the two number lines.
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Question 2 of 4
2. Question
Choose the number line that represents the inequality`-2``<``x≤3`Hint
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A compound inequality consists of two inequalities joined together by AND or OR.This inequality is in its simplest form. Hence, it can already be plotted.Place an empty circle (because of `<`) above `-2` and a solid circle (because of `≤`)
above `3`Connect the two circles with a straight line
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Question 3 of 4
3. Question
Choose the number line that represents the inequality`1≤x``<``3`Hint
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A compound inequality consists of two inequalities joined together by AND or OR.This inequality is in its simplest form. Hence, it can already be plotted.Place a solid circle (because of `≤`) above `1` and an empty circle (because of `<`) above `3`Connect the two circles with a straight line
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Question 4 of 4
4. Question
Choose the number line that represents the inequality`x``>``-3` AND `x≤1`Hint
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Well Done!
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A compound inequality consists of two inequalities joined together by AND or OR.This inequality can be rewritten as:`-3` `<` `x` `≤` `1` Place an empty circle (because of `<`) above `-3` and a solid circle (because of `≤`)
above `1`Connect the two circles with a straight line