Inequalities
One Step Inequalities 1
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Question 1 of 5
1. Question
Choose the number line that represents the inequality`x35≤14`Hint
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Help VideoRepresenting Inequalities in the Number Line
Greater than (`>`)Greater than or equal (`≥`)Less than (`<`)Less than or equal (`≤`)First, make sure that only `x` is on the left side`x35` `≤` `14` `x35` `+35` `≤` `14` `+35` Add `35` to both sides `x` `≤` `49` The given inequality has a less than or equal to (`≤`) sign.Hence, place a solid circle above `49` and attach an arrow pointing to the left to represent all values less than `49`.Check our workTo confirm that `49` is less than or equal to `a`, substitute `x=49` to the original inequality`x35` `≤` `14` `4935` `≤` `14` Substitute `x=49` `14` `≤` `14` Since the inequality is true, the representation is correct 
Question 2 of 5
2. Question
Choose the number line that represents the inequality`9``<``m+3`Hint
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Greater than (`>`)Greater than or equal (`≥`)Less than (`<`)Less than or equal (`≤`)First, make sure that only `m` is on the left side`9` `<` `m+3` `9` `3` `<` `m+3` `3` Subtract `3` from both sides `6` `<` `m` `m` `>` `6` Flip the inequality The given inequality has a greater than (`>`) sign.Hence, place an empty circle above `6` and attach an arrow pointing to the right to represent all values greater than `6`. 
Question 3 of 5
3. Question
Choose the number line that represents the inequality`8x+5``>``9x`Hint
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Help VideoRepresenting Inequalities in the Number Line
Greater than (`>`)Greater than or equal (`≥`)Less than (`<`)Less than or equal (`≤`)First, make sure that only `x` is on the left side`8x+5` `>` `9x` `8x+5` `8x` `>` `9x` `8x` Subtract `8x` from both sides `5` `>` `x` `x` `<` `5` Flip the inequality The given inequality has a less than (`<`) sign.Hence, place an empty circle above `5` and attach an arrow pointing to the left to represent all values less than `5`. 
Question 4 of 5
4. Question
Choose the number line that represents the inequality`a+15.8≥3.5`Hint
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Excellent!
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Help VideoRepresenting Inequalities in the Number Line
Greater than (`>`)Greater than or equal (`≥`)Less than (`<`)Less than or equal (`≤`)First, make sure that only `a` is on the left side`a+15.8` `≥` `3.5` `a+15.8` `15.8` `≥` `3.5` `15.8` Subtract `15.8` from both sides `a` `≥` `19.3` The given inequality has a greater than or equal to (`≥`) sign.Hence, place a solid circle above `19.3` and attach an arrow pointing to the right to represent all values greater than `19.3`. 
Question 5 of 5
5. Question
Find the inequality that represents all possible `a` values`3a``<``45`Hint
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Keep Going!
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Help VideoIf 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 `a` is on the left side`3a` `<` `45` `3a``divide(3)` `<` `45``divide(3)` Divide both sides by `3` `a` `>` `15` Flip the inequality `a``>``15`
Jump To Quiz
 One Step Inequalities 1
 One Step Inequalities 2
 Two Step Inequalities
 MultiStep Inequalities 1
 MultiStep Inequalities 2
 Compound Inequalities 1
 Compound Inequalities 2
 Compound Inequalities 3
 Inequality Word Problems 1
 Inequality Word Problems 2
 Absolute Value Inequalities
 Graph Linear Inequalities 1
 Graph Linear Inequalities 2