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
Oliga [24]
3 years ago
12

Does anyone know how to solve |4x+3|-9<5

Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer in fraction form:   -17/4 < x < 11/4

Answer in decimal form:   -4.25 < x < 2.75

=======================================================

Work Shown:

|4x+3| - 9 < 5

|4x+3| < 5+9 .... adding 9 to both sides

|4x+3| < 14

-14 < 4x+3 <  14 .... see note at the bottom

-14-3 < 4x < 14-3 .... subtracting 3 from all sides

-17 < 4x < 11

-17/4 < x < 11/4 .... divide all sides by 4

-4.25 < x < 2.75

This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.

Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.

You might be interested in
What is the slope of a line parallel to the line whose equation is 2. – y= -7. Fully
g100num [7]

Answer:

Step-by-step explanation:

Hmmmmm you did not give the full equation for the original line.

However, parallel lines have identical slopes. Whatever coefficient (m) is associated with the x value, will be the slope of the parallel line when the equation is put in the form

y = mx + b

7 0
2 years ago
Alaska has a coastline of about 6.64 thousand miles. Florida has about 1.35 thousand miles of coastline. How many times more mil
victus00 [196]
All you need to do is divide 6.64 and 1.35. you would get 4.91851852. But, you need to round to the nearest tenth so it would actually be 4.9.
3 0
3 years ago
Is the quotient of 9 rational
Musya8 [376]
Yes the quotient of 9 is rational
4 0
3 years ago
Read 2 more answers
$200 at 15.5% for 2 years
Inessa05 [86]
15.5 I believe but don’t hold me to it!
8 0
3 years ago
Can you please answer both and show work
Effectus [21]

90*.1=9

90-9=81

81

190*.200=38

190-38=152

152

6 0
3 years ago
Read 2 more answers
Other questions:
  • Using the sum or difference formulas,how do we find the exact value of sin (285°)?
    11·1 answer
  • The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?
    11·1 answer
  • Ricardo deposits $30 and it increases by 15% each month how much money will he have in 6 months and what is the linear equation
    14·1 answer
  • Expand fully 6x^2+12x
    8·1 answer
  • How many edges and vertices does a prism with a 50 sided end face have
    7·1 answer
  • 10+2r=8 need the answer now
    6·2 answers
  • Lena has $1280 in her bank account and makes automatic $640 monthly payments on a cell phone bill. If she stops making deposits
    5·1 answer
  • An employee earns a 12% commission rate on the cameras he sells. If he earns $384 in commission, what were his total sales?
    11·1 answer
  • Please help me with this following question​
    15·1 answer
  • Which graph is an example of direct variation?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!