QUESTION 1
The given inequality is

We group like terms to get,

This implies that,
or
.
We simplify the inequality to get,
or
.
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.

We split the absolute value sign to get,
or 
This implies that,
or 
or 
or 
We can write this interval notation to get,
.
QUESTION 3
The given inequality is

We split the absolute value sign to obtain,
or 
This simplifies to
and 
and 
and 
and 

We write this in interval form to get,
![[-\frac{10}{3},2]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B10%7D%7B3%7D%2C2%5D)
QUESTION 4
The given inequality is

We split the absolute value sign to get,
or 
This simplifies to,
or 
This implies that,
or 
or 
or 
We write this in interval notation to get,

Answer:520; 240
Step-by-step explanation:
a. 13, 26, 39, 52,......
a = First term = 13
d = common difference = 26 - 13 = 13
40th term = a + (n - 1)d = a + (40-1)d = a + 39d
= 13 + (39 × 13)
= 13 + 507
= 520
b. 6, 12, 18, 24,.......
a = First term = 6
d = common difference = 12 - 6 = 6
40th term = a + 39d
= 6 + 39(6)
= 6 + 234.
= 240
Answer:
Jade paid more per gallon than Carly
Step-by-step explanation:
<span>There are 4 main transformations: Rotation, Translation, Dilation and Reflection. Reflection is a transformation: flipping an object about a line. Reflection is distance-preserving transformation. The image has the same size as the original image ( in this case: ABC = A`B`C` ).The central line is called mirror line and here it is line BC. Answer: B. Reflection over segment BC.</span>
Answer: 2,147,483,648
Step-by-step explanation: Long number, but the pattern is to keep multiplying the previous number by 4