Two Step Inequalities
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Question 1 of 3
1. Question
Choose the number line that represents the inequality`4m+53m≥9`Hint
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Representing Inequalities in the Number Line
Greater than (`>`)Greater than or equal (`≥`)Less than (`<`)Less than or equal (`≤`)First, make sure that only `m` is on the left side`4m+53m` `≥` `9` `m+5` `≥` `9` Combine like terms `m+5` `5` `≥` `9` `5` Subtract `5` from both sides `m` `≥` `14` The given inequality has a greater than or equal to (`≥`) sign.Hence, place a solid circle above `14` and attach an arrow pointing to the right to represent all values greater than `14`. 
Question 2 of 3
2. Question
Find the inequality that represents all possible `m` values`m/10``>``1/2`Hint
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If a negative value is multiplied or divided to both sides of an inequality, the inequality flips.`x``<``a` becomes `x``>``a`First, make sure that only `m` is on the left side`m/10` `>` `1/2` `m/10``times10` `>` `1/2``times10` Multiply both sides by `10` `m` `>` `10/2` `10/10=1` `m``times(1)` `>` `5``times(1)` Multiply both sides by `1` `m` `<` `5` Flip the inequality `m``<``5` 
Question 3 of 3
3. Question
Find the inequality that represents all possible `t` values`(3t)/8``<``5/40`Hint
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If a negative value is multiplied or divided to both sides of an inequality, the inequality flips.`x``<``a` becomes `x``>``a`First, make sure that only `m` is on the left side`(3t)/8` `<` `5/40` `(3t)/8``times8/3` `<` `5/40``times8/3` Multiply both sides by `8/3` `t` `<` `40/120` `(8times3)/(8times3)=1` `t` `<` `1/3` Simplify `t``<``1/3`
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