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
7nadin3 [17]
4 years ago
13

Solve the inequality 2x - 3 < x 2 ≤ 3x 5. show your work

Mathematics
2 answers:
Digiron [165]4 years ago
8 0
<span>2x − 3 < x + 2  </span>
<span>∴ x − 3 < 2  </span>
<span>∴ x < 5 </span>

<span>x + 2 ≤ 3x + 5 </span>
<span>∴ 2 ≤ 2x + 5 </span>
<span>∴ -3 ≤ 2x </span>
<span>∴ -3/2 ≤ x </span>

<span>-3/2 ≤ x < 5</span>
Alexxx [7]4 years ago
3 0

Answer:

-3/2 ≤ x < 5  

Step-by-step explanation:

2x - 3 < x + 2 ≤ 3x+5

Solve the inequality separately

2x-3 <x+2  and x+2≤ 3x+5

LEts solve one by one

2x-3 <x+2

Subtract x from both sides

x -3 < 2

add 3 on both sides

x< 5

x+2≤ 3x+5

Subtract 3x from both sides

-2x + 2 ≤ 5

Subtract 2 from both sides

-2x ≤  3

Divide both sides by -2

x ≥ -3/2

we got x>= -3/2 and x<5

so x lies between -3/2  and 5

-3/2 ≤ x < 5

You might be interested in
A mother shares a box of 20 chocolates in the same ratio as her children's ages . Calculate how many chocolates each child gets
Anni [7]
So a box of 20 chocolates is divided between a group of people based on age So the ratio for Sibusiso, Dorris, and Freddy is 2:3:5 Add these together, and you get 10 So to find how much each person gets, divide total amount of chocolates by total age So (20÷10) = 2 So multiply each age term by 2 and you have your answer (4:6:10) So Sibusiso gets 4, Dorris gets 6 and Freddy gets 10
8 0
4 years ago
A circle has a diameter with endpoints at –2 + i and –6 –11i. What is the center of the circle?
kotykmax [81]
Be more specific. Like what is it asking you to do ? I'm trying to help. :)
4 0
3 years ago
What percent of a meter is 30 cm
Alexxx [7]
A meter = 10000 cm

30cm/1m
30/10000
=0.003
x100 (for the percent)

=0.3%

6 0
3 years ago
How to expand (50 + b)5
Elina [12.6K]
(50+ b)5
= 5* (50+ b) (commutative property)
= 5* 50+ 5* b (distributive property)
= 250+ 5b
= 5b+ 250

The final answer is 5b+ 250.

Hope it helps.
3 0
3 years ago
What is the side length of a cube with a volume of 2197 cm3?
Nataliya [291]
The side length of a cube would be the cube root of its volume, because it's length, width and height are all the same. So the answer is 13
7 0
3 years ago
Other questions:
  • PLZZZZ HELP GIVE ALL POINTS I HAVE
    13·2 answers
  • A mathematician says something is wrong with the shading on this graph. What do you think it is?
    14·1 answer
  • ABC is a square body side x cm. PQRS is rectangle of dimensions (x+3) cm by (x-3) cm
    8·1 answer
  • What is the overlap of Data Set 1 and Data Set 2?
    12·2 answers
  • Find the circumstances of a circle of the radius 15 CM
    8·1 answer
  • An 8-foot rope is tied from the top of a pole to a stake in the ground,as shown in the diagram below.
    6·1 answer
  • If you add​ Natalie's age and​ Fred's age, the result is 42 . If you add​ Fred's age to 4 times​ Natalie's age, the result is 84
    12·2 answers
  • 13 ft<br> 5 ft<br> b<br> What the length of the missing leg
    5·1 answer
  • The diagrams may not be drawn to scale. Find the value of y. AC is a straight line. А 56° yº B 123° су
    8·1 answer
  • Mike's electronics store sold the following number of cellphones on each of the seven days of a week. DayCell Phones Sold Sunday
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!