Compound Inequalities 3
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Question 1 of 3
1. Question
Find the inequality that represents all possible `n` values`6``<``4n+10``<``2`Hint
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A compound inequality consists of two inequalities joined together by AND or OR.First, make sure that `x` is left alone in the middle`6``<``4n+10` `<` `2` `6` `10``<``4n+10` `10` `<` `2` `10` Subtract `10` from all sections `16` `divide4``<``4n` `divide4` `<` `8` `divide4` Divide all sections by `4` `4``<``n` `<` `2` `4``<``n``<``2` 
Question 2 of 3
2. Question
Choose the number line that represents the inequality`3x+5``<``2` OR `2x7≥1`Hint
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A compound inequality consists of two inequalities joined together by AND or OR.Solve the two inequalities seperately.Solve for `3x+5``<``2` first.`3x+5` `<` `2` `3x+5` `5` `<` `2` `5` Subtract `5` from both sides `3x``divide3` `<` `3``divide3` Divide both sides by `3` `x` `<` `1` The given inequality has a less than (`<`) sign.Hence, place a empty circle above `1` and attach an arrow pointing to the left to represent all values less than `1`.Next, solve for `2x7≥1`.`2x7` `≥` `1` `2x7` `+7` `≥` `1` `+7` Add `7` to both sides `2x``divide2` `≥` `8``divide2` Divide both sides by `2` `x` `≥` `4` The given inequality has a greater than or equal to (`≥`) sign.Hence, place a solid circle above `4` and attach an arrow pointing to the right to represent all values greater than `95`.Finally, combine the two number lines. 
Question 3 of 3
3. Question
Choose the number line that represents the inequality`y+11``<``8` OR `9y``<``45`Hint
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A compound inequality consists of two inequalities joined together by AND or OR.Solve the two inequalities seperately.Solve for `y+11``<``8` first.`y+11` `<` `8` `y+11` `11` `<` `8` `11` Subtract `11` from both sides `y` `<` `3` The given inequality has a less than (`<`) sign.Hence, place a empty circle above `3` and attach an arrow pointing to the left to represent all values less than `3`.Next, solve for `9y``<``45`.`9y` `<` `45` `9y` `divide(9)` `<` `45` `divide(9)` Divide both sides by `9` `y` `>` `5` Flip the inequality The given inequality has a greater than (`>`) sign.Hence, place a solid circle above `5` and attach an arrow pointing to the right to represent all values greater than `5`.Finally, combine the two number lines.
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