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
garri49 [273]
3 years ago
12

Solve the inequality. 4x + 1 < 8x - 3 < 4x + 5

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

1 <x <2

Step-by-step explanation:

4x + 1 < 8x - 3 < 4x + 5

Split into two inequalities

4x + 1 < 8x - 3           and        8x - 3 < 4x + 5

Do the first one first

4x + 1 < 8x - 3

Subtract 4x from each side

4x -4x + 1 < 8x-4x - 3

1 < 4x-3

Add 3 to each side

1+3 < 4x-3+3

4 < 4x

Divide by 4

4/4 <4x/4

1 <x

Now the other

8x - 3 < 4x + 5

Subtract 4x from each side

8x -4x-3 < 4x+5-4x

4x-3 < 5

Add 3 to each side

4x-3+3 < 5+3

4x<8

Divide by 4

4x/4 <8/4

x <2

Put them back together

1 <x <2

You might be interested in
the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?
stich3 [128]

Answer:

Options (C), (D) and (E)

Step-by-step explanation:

Slope of the given line = \frac{1}{3}

Any line having same slope will be parallel to the given line otherwise the lines will intersect.

Therefore, we will find the slope of the lines passing through two points given in the options.

Option A

Slope of the line passing through (12, -13) and (15, -12)

m = \frac{y_2-y_1}{x_2-x_1}

   = \frac{-13+12}{12-15}

   = \frac{1}{3}

Therefore, both the lines are parallel having no point of intersection.

Option B

Slope = \frac{-9+7}{18-24}

          = \frac{1}{3}

Both the lines are parallel having no point of intersection.

Option C

Slope = \frac{-20+21}{15-18}

          = -\frac{1}{3}

Therefore, both the lines will intersect.

Option D

Slope = \frac{-15+14}{30-36}

          = \frac{1}{6}

Both the lines will intersect each other.

Option E

Slope = \frac{-11+10}{24-30}

          = \frac{1}{6}

Both the lines will intersect each other at a point.

Options (C), (D) and (E) are the correct options.

6 0
3 years ago
Solve for the variable: p − 4.8 (less than or = to sign) 6.
VashaNatasha [74]
P - 4.8 ≤ 6
p - 4.8 + 4.8 ≤ 6 + 4.8
p ≤ 10.8

3 0
3 years ago
What is 12 6/13 rounded to the nearest whole numbers
Natalka [10]
So, first determine what half of the denominator or bottom number would be.
   Half of 13 would be 6.5 (Do 13 divided by 2).
Next, see if the numerator or top number on the fraction is smaller, the same, or bigger than that number.
   Since 6.5 is bigger than 6, the numerator would be smaller.
If it is smaller, keep the whole number (in this case 12) the same. If it is the same or equal, round up (in this case 13).
   Since 6 is smaller than 6.5, you keep 12 the same.
   Your answer would be 12.

Hope this helped!
6 0
3 years ago
At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?
Natasha2012 [34]

Answer:

see below

Step-by-step explanation:

$11.60 for $5

1. Find the rate.

$11.60 divided by $5= $2.32

2. 1 gemstone= $2.32

Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.

5 0
3 years ago
What type of triangle has no sides that are the same ?
Goryan [66]

Answer:

Scalene Triangle

Step-by-step explanation:

A triangle with all different sides is a scalene triangle.

Hope this helps!

Please mark brainliest!

8 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the expression 4x for xequals2
    12·1 answer
  • Point P is located at (–4, –7). P is reflected across the x-axis to create P'. In which quadrant is P' located?
    10·2 answers
  • Give one real world example where you would use absolute value.
    11·2 answers
  • What Types measurements
    13·1 answer
  • I need help I'm dumb
    9·1 answer
  • Tell whether the 2 rates form a proportion:
    10·1 answer
  • Please help me with this question too. Please and Thank you!
    6·1 answer
  • Please help me with this homework
    14·2 answers
  • Matt took a taxi from his home to the airport. The taxi driver charged an initial fee of $6.75 plus $2.20 per mile. The total fa
    8·2 answers
  • An employees hourly wage is $16.50 per hour plus $0.25 for each of the q units produced during the hour. Write an algebraic expr
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!