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
ad-work [718]
3 years ago
5

Solve: 2|x - 3| - 4 ≥ 10

Mathematics
2 answers:
shusha [124]3 years ago
7 0
2(|x−3|)−4≥10
Step 1: Add 4 to both sides.<span><span><span><span>2<span>(<span>|<span>x−3</span>|</span>)</span></span>−4</span>+4</span>≥<span>10+4</span></span><span><span>2<span>(<span>|<span>x−3</span>|</span>)</span></span>≥14</span>Step 2: Divide both sides by 2.<span><span><span>2<span>(<span>|<span>x−3</span>|</span>)</span></span>2</span>≥<span>142</span></span><span><span>|<span>x−3</span>|</span>≥7</span>Step 3: Solve Absolute Value.<span><span>|<span>x−3</span>|</span>≥7</span>We know either<span><span>x−3</span>≥7</span>or<span><span>x−3</span>≤<span>−7</span></span><span><span>x−3</span>≥7</span>(Possibility 1)<span><span><span>x−3</span>+3</span>≥<span>7+3</span></span>(Add 3 to both sides)<span>x≥10</span><span><span>x−3</span>≤<span>−7</span></span>(Possibility 2)<span><span><span>x−3</span>+3</span>≤<span><span>−7</span>+3</span></span>(Add 3 to both sides)<span>x≤<span>−<span>4
the answer is 
</span></span></span><span>x≥<span><span>10<span>or </span></span>x</span></span>≤−4

<span><span>
</span>
</span>
PtichkaEL [24]3 years ago
3 0
Hi TeddyBR

Add 4 to both sides

add 10 + 4 to 14

divide both sides by 2

divide 14/2 to 7

break down the problems into these two equations

x - 3 ≥ 7

-(x - 3) ≥ 7

Lets first solve the first equation which is x - 3 ≥ 7 and that would be x ≥ 10 and lets solve the other one which is -(x - 3) ≥ 7 and that would be x <span>≤</span> -4

Gather both solutions

Answers: x ≥ 10 and x ≤ -4.
You might be interested in
Linear Equations &amp; Linear Systems:Question 5
Andreas93 [3]
(2, -3) is the solution
5 0
3 years ago
What is 6 2/5 added by 2 3/10.Make sure your answer is fully reduced​
slava [35]

Answer:

8 7/10

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Write each power as a product of the Same factor then find the value 1. 4^3 2. 2^6 3. 8^4 4. 12^2​
qwelly [4]

Answer:

15^3=15×15×15=3375

0^4=0×0×0×0=0

5^5=5×5×5×5×5=3125

3.5^2=3.5×3.5=12.25

6^5=6×6×6×6×6=7776

7^4=7×7×7×7=2401

1^8=1×1×1×1×1×1×1×1=1

2.5^3=2.5×2.5×2.5=15.625

Step-by-step explanation:

7 0
3 years ago
Covert 4,400 centimeters to meters
patriot [66]

Answer:

44 meters

Step-by-step explanation:

4400 cm                 1m

-----------   times  --------

m                       100 cm      

4400/100

44 meters

6 0
3 years ago
Read 2 more answers
A jacket has a regular price of $60. it is on sale for 10% off. the sales tax is 8%. what is the total cost of the jacket includ
Vanyuwa [196]
The answer is C. $58.32 :)
7 0
3 years ago
Other questions:
  • A card is chosen from a well- shuffled deck of 52 cards. What is the probability that the card will be: 1. an even card OR a red
    12·2 answers
  • Hey you guys so I have a bunch of school work that I need help with and that needs to be done tonight.who can help me get the ri
    14·1 answer
  • Which of the following factors are considered when calculating GDP?
    14·2 answers
  • Find three points of the linear equation -x-2y=-10
    11·1 answer
  • What is the surface area of the pyramid
    9·1 answer
  • Aisha can use the expression 120 divided by 10 to determine the solution to which problem?
    7·2 answers
  • PLS HURRY
    7·1 answer
  • Kam
    13·1 answer
  • Solve the equation:<br> 4(x-2)=3x-6
    5·1 answer
  • Hello can you please help me with one or two please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!