Compound Inequalities 2
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Question 1 of 4
1. Question
Choose the number line that represents the inequality`x≥1` OR `x``<``2`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 greater than or equal to (`≥`) sign.Hence, place a solid circle above `1` and attach an arrow pointing to the right to represent all values greater than `1`.Next, plot `x``<``2`.The given inequality has a less than (`<`) sign.Hence, place an empty circle above `2` and attach an arrow pointing to the left to represent all values less than `2`.Finally, combine the two number lines. 
Question 2 of 4
2. Question
Find the inequality that represents all possible `x` values`1``<``x+3≤9`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`1``<``x+3` `≤` `9` `1` `3``<``x+3` `3` `≤` `9` `3` Subtract `3` from all sections `2``<``x` `≤` `6` `2``<``x≤6` 
Question 3 of 4
3. Question
Find the inequality that represents all possible `x` values`6≤x5≤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≤x5` `≤` `2` `6` `+5``≤x5` `+5` `≤` `2` `+5` Add `5` to all sections `1` `times(1)``≤x` `times(1)` `≤` `7` `times(1)` Multiply all sections by `1` `1≥x` `≥` `7` Flip the inequality `7≤x` `≤` `1` Place the lower value to the left `7≤x≤1` 
Question 4 of 4
4. Question
Find the inequality that represents all possible `x` values`10``>``24x` AND `74x``>``5`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 `10``>``24x` first.`10` `>` `24x` `10` `2` `>` `24x` `2` Subtract `2` from both sides `8``divide(4)` `>` `4x``divide(4)` Divide both sides by `4` `2` `<` `x` Flip the inequality Next, solve for `74x``>``5`.`74x` `>` `5` `74x` `7` `>` `5` `7` Subtract `7` from both sides `4x``divide(4)` `>` `12``divide(4)` Divide both sides by `4` `x` `<` `3` Flip the inequality The two inequalities can be rewritten as:`2` `<` `x` `<` `3` `2``<``x``<``3`
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