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
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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`.
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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`