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
hammer [34]
3 years ago
12

Solve the following inequality algebraically. ∣x−5∣≤11

Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

-6\leq x\leq 16

Step-by-step explanation:

So we have the inequality:

|x-5|\leq 11

Definition of Absolute Value:

x-5\leq 11\text{ or } x-5\geq -11

Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

x\leq 16\text{ or } x\geq -6

Merge:

-6\leq x\leq 16

And we're done!

You might be interested in
I could rlly use sum help - Brainliest!!!!!
atroni [7]

Answer: The answers are 4x^2(x^2+5x+3), (x–6) (x+2), (x–9), 3(x–7)(x–4), (9x–10) (9x+10), 3(y^2+2)(x^2+4), (5x+2), 2(x–4)(6x+1), 2(x + 4)(y - 4), and the factored form is (3x–4)(x–3).

Step-by-step explanation: To solve all the factoring equations, factor using the AC method or factoring the polynomials, the 3 steps are Grouping: using the sum-product pattern, common factor from the two pairs, and

rewrite the expression in factored form.

4 0
3 years ago
Simplify c x d x 4 =
White raven [17]

Answer:

Ya the person above me is right 4cd

3 0
3 years ago
How do I graph this <br>​
disa [49]

Answer:

ight so you put a dot at -2 and then go up like, go up -2 line until you look across and it says 7 and put a dot there

Step-by-step explanation:

7 0
3 years ago
Rationalize the denominator of 4/14 root 2?
Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}

5 0
3 years ago
How do I simplify 10q-2q+3-9?
Viktor [21]

Answer:

The answer should be 8q-6 i think i tried

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • The graph of the cube root parent function y =∛ x is translated to form f(x) shown on the graph.
    7·2 answers
  • Michael bikes 36 miles last week and 38.4 miles this week. What is the average distance he bikes? Give your answer with the appr
    5·1 answer
  • Identify the transformation that maps the regular hexagon with a center (-7, 3.5) onto itself
    7·2 answers
  • Emmanuel has 745 pictures in his phone his memory is getting full so he starts deleting 20 pictures everyday if I need to be abl
    6·1 answer
  • Geometry- please explain when you answer. #16
    15·1 answer
  • -3z-1=1-7z simplify​
    9·2 answers
  • Which of the following expressions can be used to find x? Solve for x. Round to the nearest hundredth. A tan 28 = x32 ; x=17.01∘
    10·1 answer
  • F(x) = 4x-5; Find f(-4)
    12·2 answers
  • If there are 5 blue marbles 2 red marbles and 3 green marbles what is the probability of grabbing color out of the bag
    14·1 answer
  • Look at the attachment, and please answer my question, thanks!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!