One Step Inequalities 1
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Question 1 of 5
1. Question
Choose the number line that represents the inequality`x-35≤14`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 `x` is on the left side`x-35` `≤` `14` `x-35` `+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`x-35` `≤` `14` `49-35` `≤` `14` Substitute `x=49` `14` `≤` `14` Since the inequality is true, the representation is correct
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Question 2 of 5
2. Question
Choose the number line that represents the inequality`9``<``m+3`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`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`.
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Question 3 of 5
3. Question
Choose the number line that represents the inequality`8x+5``>``9x`Hint
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Well Done!
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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 `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`.
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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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Representing 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`.
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Question 5 of 5
5. Question
Find the inequality that represents all possible `a` values`-3a``<``45`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 `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`