Two Step Inequalities
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Question 1 of 3
1. Question
Choose the number line that represents the inequality`4m+5-3m≥-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+5-3m` `≥` `-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`.
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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`