Solve the inequality. |4x + 2| < 26

1 answer:

8 0

Hello,
Answer D

1) if 4x+2>0 then |4x+2|=4x+2
==> 4x+2<26
==>4x<24
==>x<6

2) if 4x+2<0 then |4x+2|=-(4x+2)=-4x-2

==>-4x-2<26
==>-4x<28
==>x>-7

thus -7<x<6

You might be interested in

A student scored 84 and 87 on their first two quizzes. Write and solve a compound inequality to find the possible values for a t

BARSIC [14]

Answer:

The score in third quiz must be lie between 84 to 99 inclusive.

Step-by-step explanation:

8 0

3 years ago

Plz Help if possible

MrRa [10]

Answer:

2x + y = 2.

Step-by-step explanation:

First find the slope of the required line by writing the line 2x + y = -5 in slope intercept form:

2x + y = -5

y = -2x - 5

- so the slope is -2.

Therefore the required equation is

y = -2x + 2 (where 2 is the y-intercept).

Converting to standard form:

y = -2x + 2

2x + y = 2.

3 0

3 years ago

A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev

Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : $\mu=12\text { cm}$

Standard deviation : $\sigma= 0.2\text{ cm}$

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$