2. Since we know that a number m minus 2 is , we can now finally find the at least 5. The meaning of "at least" is a number and up, which also means "greater than or equal". Thus, we have , which is D.
3. This works like simple math, yet it works this time with x and y variables. In coordinates the number on the left is the x variable, the one on the right is the y variable. This equation is this time is greater than 4, so we have to find a sum that is greater than 4. Trying all options, B fits the description of finding the sum of 5, which is greater than 4.
4. To find a linear inequality with two variables, find something that doesn't end with equal and qualifies with two variables. Since A and B have equals in the end, they disqualify, giving only C and D. Although C has an inequality, it does not qualify because it only has just one variable, lacking y, yet D has. Thus, the answer is D.
5. In solving calculations with currency, set aside the currency symbol. We can also tell that in the physical world, we can't exceed the given number of how much should we buy, yet we can still reach it, it also means "less than or equal to". Because C has the symbol of "less than or equal to", it is automatically correct.
6. Multiply the 4 apples with 22 and we have 88, subtract it from 160 and we have 72, 72 divided by the 16 and we have 4.5. If we round it off to 5 we exceed the 160, but rounding off to 4 and we don't, which fits the .
7. Greater than is in > form, and A is the only one that has it, which is the correct answer.
8. Since A does not fit the description, we now have B, C, and d as the remaining options. But since the minimum means least, and B is the least of all (A could be but it does not qualify), thus, B is the answer.
9. C qualifies because it fits the description for both inequalities and in the set.
10. All of which qualify, and the answer needed is what does not qualify, but none of which does not qualify, so there is no answer.
Answers & Comments
Answer:
1. C.![3x+8 \leqslant 10 3x+8 \leqslant 10](https://tex.z-dn.net/?f=3x%2B8%20%5Cleqslant%2010)
2. D.![m - 2 \geqslant 5 m - 2 \geqslant 5](https://tex.z-dn.net/?f=m%20-%202%20%20%5Cgeqslant%205)
3. B.![(2, 3) (2, 3)](https://tex.z-dn.net/?f=%282%2C%203%29)
4. D.![2x+5 \geqslant 3y 2x+5 \geqslant 3y](https://tex.z-dn.net/?f=2x%2B5%20%5Cgeqslant%203y)
5. C.![22a+16o \leqslant 160 22a+16o \leqslant 160](https://tex.z-dn.net/?f=22a%2B16o%20%5Cleqslant%20160)
6. B. 4
7. A.![r+b > 50 r+b > 50](https://tex.z-dn.net/?f=r%2Bb%20%3E%2050)
8. B. 22
9. C.![(2, 4) (2, 4)](https://tex.z-dn.net/?f=%282%2C%204%29)
10. None of the above
Step-by-step explanation:
1. C is the only choice without a
variable.
2. Since we know that a number m minus 2 is
, we can now finally find the at least 5. The meaning of "at least" is a number and up, which also means "greater than or equal". Thus, we have
, which is D.
3. This works like simple math, yet it works this time with x and y variables. In coordinates the number on the left is the x variable, the one on the right is the y variable. This equation is this time is greater than 4, so we have to find a sum that is greater than 4. Trying all options, B fits the description of finding the sum of 5, which is greater than 4.
4. To find a linear inequality with two variables, find something that doesn't end with equal and qualifies with two variables. Since A and B have equals in the end, they disqualify, giving only C and D. Although C has an inequality, it does not qualify because it only has just one variable, lacking y, yet D has. Thus, the answer is D.
5. In solving calculations with currency, set aside the currency symbol. We can also tell that in the physical world, we can't exceed the given number of how much should we buy, yet we can still reach it, it also means "less than or equal to". Because C has the symbol of "less than or equal to", it is automatically correct.
6. Multiply the 4 apples with 22 and we have 88, subtract it from 160 and we have 72, 72 divided by the 16 and we have 4.5. If we round it off to 5 we exceed the 160, but rounding off to 4 and we don't, which fits the
.
7. Greater than is in > form, and A is the only one that has it, which is the correct answer.
8. Since A does not fit the description, we now have B, C, and d as the remaining options. But since the minimum means least, and B is the least of all (A could be but it does not qualify), thus, B is the answer.
9. C qualifies because it fits the description for both inequalities
and
in the set.
10. All of which qualify, and the answer needed is what does not qualify, but none of which does not qualify, so there is no answer.
Hope this helps and #CarryOnLearning!