One Step Inequalities 2
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Question 1 of 5
1. Question
Choose the number line that represents the inequality`a/5≥19`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 `a` is on the left side`a/5` `≥` `19` `a/5``times5` `≥` `19``times5` Multiply both sides by `5` `a` `≥` `95` The given inequality has a greater than or equal to (`≥`) sign.Hence, place a solid circle above `95` and attach an arrow pointing to the right to represent all values greater than `95`.Check our workTo confirm that `95` is greater than or equal to `a`, substitute `a=100` to the original inequality`a/5` `≥` `19` `100/5` `≥` `19` Substitute `a=100` `20` `≥` `19` Since the inequality is true, the representation is correct 
Question 2 of 5
2. Question
Choose the number line that represents the inequality`x/(4)``>``9`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`x/(4)` `>` `9` `x/(4)``times(4)` `>` `9``times(4)` Multiply both sides by `4` `x` `<` `36` Flip the inequality The given inequality has a less than (`<`) sign.Hence, place an empty circle above `36` and attach an arrow pointing to the left to represent all values less than `36`. 
Question 3 of 5
3. Question
Find the inequality that represents all possible `y` values`0.9y``>``8.1`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 `y` is on the left side`0.9y` `>` `8.1` `0.9y``divide(0.9)` `>` `8.1``divide(0.9)` Divide both sides by `0.9` `y` `<` `9` Flip the inequality `y``<``9` 
Question 4 of 5
4. Question
Find the inequality that represents all possible `x` values`1/2x``<``24`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 `y` is on the left side`1/2x` `<` `24` `1/2x``times(2)` `<` `24``times(2)` Multiply both sides by `2` `x` `>` `48` Flip the inequality `x``>``48` 
Question 5 of 5
5. Question
Find the inequality that represents all possible `t` values`6t≤222`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 `y` is on the left side`6t` `≤` `222` `6t``divide(6)` `≤` `222``divide(6)` Divide both sides by `6` `t` `≥` `37` Flip the inequality `t≥37`
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