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AveGali [126]
3 years ago
8

Solve the inequality 2x + 9 < 4x + 3

Mathematics
2 answers:
Maslowich3 years ago
6 0

Answer:

x>3

Step-by-step explanation:

2x+9<4x+3

2x-4x<3-9  (collect the like terms first)

-2x<-6    (divide both sides by -2 to get the value of x)

\frac{-2x}{-2}  ( the < sign changes because both sides are divided by -2)

x>3.

{x:x>3}= {x=4,5,6,7...}

       Check

2x+9<4x+3

2(4)+9<4(4)+3

8+9<16+3

17<19

Diano4ka-milaya [45]3 years ago
5 0

Answer:

x > 3

Step-by-step explanation:

2x+9<4x+3

or, 9-3<4x-2x

or, 6<2x

or, (6/2)<x

or, 3<x

or, x >3

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Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32
Inga [223]

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-10-(44+8*x)=0

Pull out like factors :

  -6x - 54  =   -6 • (x + 9)

  -6   =  0

 Solve  :    x+9 = 0

Subtract  9  from both sides of the equation :

                     x = -9

x = -9

Move all terms containing

x

to the left side of the equation.

4

x

−

4

=

20

Move all terms not containing

x

to the right side of the equation.

4

x

=

24

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

2x

2

=

−14

2

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

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3 years ago
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Find the exact value of cos(arcsin(one fourth)). For full credit, explain your reasoning.
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5 0
3 years ago
What are the solutions to the equation (2x – 5)(3x – 1) = 0?
user100 [1]

Answer: x=\frac{5}{2}, x=\frac{1}{3}

Explanation:

The equation is:

(2x-5)(3x-1)=0

The term on the left consists of a product of two different factors: therefore, this product can be zero if either the first term (2x-5) or the second term (3x-1) is equal to zero.

This means that we can solve separately for the two terms:

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Solving the first equation:

2x-5=0\\2x=5\\x=\frac{5}{2}

Solving the second equation:

3x-1=0\\3x=1\\x=\frac{1}{3}

8 0
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inessss [21]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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