Answer:
n > 4
Step-by-step explanation:
3n - 7 > <u>n</u> + 1
Move variable to the left side and change its sign
3n <u>- </u><u>n</u> - 7 > 1
...
3n <u>- </u><u>7</u> > n + 1
Move constant to the right side and change its sign
3n - n > 1 <u>+ </u><u>7</u>
...
<u>3</u><u>n - n</u> > 1 + 7
Collect the like terms
<u>2</u><u>n</u> < 1 + 7
...
3n - n > <u>1</u><u> + </u><u>7</u>
Add the numbers
2n < <u>8</u>
Divide both sides of the inequality by 2
Solution:
<u>n </u><u>></u><u> </u><u>4</u><u> </u> Answer:
n < 2
Step-by-step explanation:
4n - 5 < <u>3n</u> - 3
Move variable to the left side and change its sign
4n <u>- 3n</u> - 5 < - 3
...
4n <u>- 5</u> < 3n -3
Move constant to the right side and change its sign
4n - 3n < - 3 <u>+ 5</u>
...
<u>4n - 3n</u> < - 3 + 5
Collect the like terms
<u>n</u> < - 3 + 5
...
4n - 3n < <u>- 3 + 5</u>
Calculate the sum
n < <u>2</u>
...
Solution:
<u>n < 2</u>
Answer:
2. Given
3. Definition of supplementary angles
4. Substitution Property
5 Subtraction Property
Step-by-step explanation:
2. Given
We are given in the statement that m<1 = 112°
3. Definition of supplementary angles
Supplementary angles definition: Two angles are supplementary if there sum is equal to 180°. That statement states:
m<1 + m<2 = 180°
4. Substitution Property
We put the value of m<1 = 112° in the equation. This is substitution property.
5. Subtraction Property
To find the value of m<2 we subtract 112 from both sides of the equation.
This is subtraction property.
Answer: A
Step-by-step explanation:
Answer:
-2.33333333333333333333333
Step-by-step explanation:0
