Answer:
x > 2/3
Step-by-step explanation:
-4(3x - 5) < 2(3x + 4)
Divide both sides by 2.
-2(3x - 5) < 3x + 4
Distribute on the left side.
-6x + 10 < 3x + 4
Subtract 3x from both sides.
-9x + 10 < 4
Subtract 10 from both sides.
-9x < - 6
Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > (-6)/(-9)
x > 6/9
x > 2/3

To remove √3 from denominator, we multiply both numerator as well as denominator with √3
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Answer:
It is A.
Step-by-step explanation:
In function A we see that there are 2 ordered pairs with value 2 in the first position with y values 6 and 2. So this is not a function.
<u>ANSWER:</u>
The solution set for the inequality 7x < 7(x - 2) is null set 
<u>SOLUTION:</u>
Given, inequality expression is 7x < 7 × (x – 2)
We have to give the solution set for above inequality expression in the interval notation form.
Now, let us solve the inequality expression for x.
Then, 7x < 7 × (x – 2)
7x < 7 × x – 2 × 7
7x < 7x – 14
7x – (7x – 14) < 0
7x – 7x + 14 < 0
0 + 14 < 0
14 < 0
Which is false, so there exists no solution for x which can satisfy the given equation.
So, the interval solution for given inequality will be null set
Hence, the solution set is 
Answer:
(a)The missing measurements are 9 feet and
.
(b)Therefore, the length of the fence is 
Step-by-step explanation:
The diagram of the yard is attached below.
(a)I have labeled the missing dimensions of the yard as x and y.
Therefore:

Similarly:

The missing measurements are 9 feet and
.
(b)Length of the Fence
The fence is rectangular shaped with:
Length = 
Width = 
Perimeter of a Rectangle = 2(L+W)
Therefore, the length of the fence
