1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
oee [108]
2 years ago
7

|x-1|+2<4 solving for x

Mathematics
1 answer:
Ganezh [65]2 years ago
8 0

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

  • |x-1| + 2 - 2 < 4 - 2
  • |x-1|

Step 2: Solve absolute value.

  • We know x - 1 < 2 and x - 1 > -2.

Condition 1:

  • x - 1 < 2
  • x - 1 + 1 < 2 + 1 (Add 1 to both sides)
  • x < 3

Condition 2:

  • x - 1 > -2
  • x - 1 + 1 > -2 + 1 (Add 1 to both sides)
  • x>-1

Therefore, the answer is x < 3 and x > -1.

You might be interested in
ANSWER THIS ASAP FOR BRAINIEST What type of triangle is shown below?
vovangra [49]

Answer:

The last one

Step-by-step explanation:

A scalene triangle has no similarities between the angles or the sides

In the shown triangle none of the sides are similar and none of the angles are congruent therefore this is a scalene triangle

Reasons why its not the other answers

  • This is not an acute triangle. In order for it to be an acute triangle all of the angles have to have a measure less than 90 degrees. There is an angle with a measure of 120 degrees the triangle is not an acute triangle
  • This triangle is not an isosceles triangle. In order for it to be an isosceles triangles it has to have at least one congruent side. None of the sides are congruent therefore it is not an isosceles triangle
  • This is not a right triangle. In order for it to be a right triangle one of the angles has to have a measure of 90 degrees. Because none of the angles measure 90 degrees it is not a right triangle

In conclusion the answer would be that this triangle is a scalene triangle

8 0
3 years ago
Read 2 more answers
The Carry All Backpack Company realizes a profit of $28 on each backpack sold. Which type of equation is the most suitable for d
BaLLatris [955]

Answer: B Linear


Step-by-step explanation:

It wouldn't be exponential because there isn't exponent, and it won't be rational because there is no fraction, and it is not quadratic. Hope this helps :)

4 0
4 years ago
Last year Nancy weighted 37 5/8 pounds. This year she weighed 42.7 pounds. How much did she gain?
Andre45 [30]

Answer:

Nancy gained 5.075 pounds.

Step-by-step explanation:

5/8=0.625

37.625

42.7-37.625=5.075

4 0
3 years ago
Read 2 more answers
At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperatures is 50\degree50°50,
Len [333]

Answer:

D(t)=50\cdot (0.8)^{t}

Step-by-step explanation:

The equation for exponential decay function is given as:

D(t)=a(1-r)^{t}

where:

D(t)= difference in temperature t=time

r=rate of change

a =initial value of the temperature

From the given problem:

Initial Temperature,a=50°C

Rate of Decay,r=\frac{1}{5}

Therefore the function for the difference in temperature is given as:

D(t)=50(1-\frac{1}{5})^{t}

D(t)=50\cdot (\frac{4}{5})^{t}

We can convert \frac{4}{5} to decimal and write the function as:

D(t)=50\cdot (0.8)^{t}

7 0
3 years ago
Read 2 more answers
Equivalent fractions
lyudmila [28]

Answer:

number 1. 5/4  number 2.  7/4 number 3. 1/5

Step-by-step explanation                                                                                           It's the shaped parts. Hope this helps : )

3 0
2 years ago
Other questions:
  • PLEASE HELP ASAP!! There is a two-digit number whose units digit is six less than the tens digit. Four times the tens digit plus
    5·2 answers
  • What would the cross section of the cone be if it were cut along the dotted line shown, and you looked at it from above
    10·1 answer
  • Simplify the expression: x2+x(x-5)-x+7
    9·1 answer
  • Write the logarithmic equation log 7 x = y in exponential form.
    11·1 answer
  • Aaron has 14 2/5 feet of rope. *He cuts it equally into 2 pieces. *He then cuts 1 of these pieces into 2/5 foot sections. How ma
    11·2 answers
  • This grid shows where a squirrel hid different nuts which ordered pair shows wheee the squirrel hid the acorns
    12·1 answer
  • The present ages of hero and hero in the ratio 3 is to 4 5 years from now their ratio of their ages will be 4 is 25 find the pre
    7·1 answer
  • A local company employs a varying number of employees each year, based on its needs. The labor costs for the company include a f
    8·1 answer
  • Please help! The question and answer choices are attached.
    7·1 answer
  • A map has the scale 1 : 200,000 and the distance between two villages on the map is 8 cm. What is the distance in metres between
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!