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
postnew [5]
2 years ago
15

Need help with number 3 inequalities with variables on both sides

Mathematics
2 answers:
Volgvan2 years ago
5 0

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

\displaystyle{2x-3 \leq \dfrac{x}{2}}

First, get rid of the denominator by multiplying both sides by 2:

\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}

Add both sides by 6 then subtract both sides by x:

\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}

Then divide both sides by 3:

\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}

Therefore, the answer is x ≤ 2

Mariana [72]2 years ago
4 0

Answer: x \leq 2

Step-by-step explanation: Given 2x - 3 \leq  \frac{x}{2}, we multiply 2 by both sides to cancel out the 2 in the denominator (multiplying by a number in a fraction turns it into 1, and since the denominator is one, it is the same as saying the number [or variable] on the numerator by itself.)

We then get 4x - 6 \leq x.

Adding 6 to both sides, we get 4x \leq x + 6.

Subtracting x from both sides, we get 3x \leq 6

Dividing by 3 from both sides, we get x \leq 2

Hope this helped!

You might be interested in
Given congruent triangles name the corresponding sides and corresponding angles
Alborosie

Answer:

See explanation

Step-by-step explanation:

Given \triangle ABC\cong \triangle ADC

According to the order of the vertices,

  • side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);
  • side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);
  • side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);
  • angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);
  • angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);
  • angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);
6 0
4 years ago
Use the quadratic formula to solve the equation
azamat

Answer:

=3

=2

Step-by-step explanation:

12−5+6=0

using the Quadratic Formula where

a = 1, b = -5, and c = 6

=−±2−4‾‾‾‾‾‾‾‾√2

=−(−5)±(−5)2−4(1)(6)‾‾‾‾‾‾‾‾‾‾‾‾‾‾√2(1)

=5±25−24‾‾‾‾‾‾‾√2

=5±1‾√2

The discriminant 2−4>0

so, there are two real roots.

Simplify the Radical:

=5±12

=62=42

which becomes

=3

=2

hope this helps :)

7 0
3 years ago
X−6>−2 solve the inequality
hjlf

Answer:

x>4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can someone help me with this
Morgarella [4.7K]

Answer:

FG=30

Step-by-step explanation:

Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

FH=FG+GH

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

4x=(2x+10)+x

Solve for x. On the right, combine like terms:

4x=3x+10

Subtract 3x from both sides:

x=10

So, the value of x is 10.

To find the value of FG, substitute 10 into its x:

FG=2x+10\\FG=2(10)+10

Multiply:

FG=20+10

Add:

FG=30

And we're done!

6 0
3 years ago
. Find the range of the data.<br><br> 7,4, 12, 1, 8, 8, 4, 14, 13, 9, 11, 10, 2,7,5, 3, 1, 8,5,3
Burka [1]

Answer:

Range: 13

Step-by-step explanation:

Population size:20

Lowest value: 1

Highest value: 14

Answer: 13

<em><u>Hope this helps.</u></em>

5 0
3 years ago
Other questions:
  • Elena bought 24 sandwich buns. there were 8 buns in each pack. complete the equation below to show many packs elena bought.
    6·2 answers
  • Please please help me
    7·2 answers
  • Two cylinders,a and b each started with different amounts of water.The graph shows how the height of the water changed as the vo
    6·2 answers
  • Which model shows 1/4 divided by 3 ? A B C D
    7·1 answer
  • Solve the inequality 5x &lt; 16 +x.<br> x &lt; 1/4<br> x&gt;1/4<br> x&lt;4<br> x&gt;4
    5·2 answers
  • A scientist is comparing the size of two one insect is 1.33 cm long and the other insect is 2.01 cm long which is the difference
    12·1 answer
  • How much do i need to get to 500 so rite now I have 423 and I need 500
    5·1 answer
  • WILL AWARD 20 BRAINLY POINTS!
    15·1 answer
  • Island A is 150 miles from Island B. A ship captain travels 310 miles from Island A and then finds that he is off course and 200
    14·1 answer
  • What is 6,372.08 written in expanded form?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!