Solve thr inequality: 8 + 4x

12

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Solve thr inequality: 8 + 4x

12

8x − 8 = 4x + 12

Add 8 to both sides:

8x = 4x + 20

Subtract 4x from both sides:

4x = 20

Divide both sides by 4:

x = 20/4

x = 5

x=12

Step-by-step explanation:

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3. Which equation is equivalent to [tex]x + 3y- z = 3[/tex]

Now multiply both the sides by 4 we get

[tex]4*(x + 3y- z = 3)\\\\\Rightarrow4*(x+3y-z)=4*3\\\\\Rightarrow4x+12y-4z=12\\\\\ \text{Hence the equivalent equation is } 4x+12y-4z=12\\[/tex]

4.

We need to find the point which satisfies the given equation

[tex]3x-2y + 4z =-12\\\\\text{Substitute the point (2,-2,3) we get}\\\\3*2-2(-2)+4(3)=6+4+12=22\not\equiv -12\\\\\text{Hence this point does not satisfy}\\\\\text{Now check with the point (4,16,2)}\\\\3*4-2*16+4*2=12-32+8=12=True\\\ \text{Hence the required point is} (4,16,2)\\[/tex]

the first one,the third one and the last.

[tex]Choose all the equations with no solution * 10 points 4x + 8 = 4x + 12 12x + 8 = 10 3x - 4 = 3x + 7[/tex]

[tex]Choose all the equations with no solution * 10 points 4x + 8 = 4x + 12 12x + 8 = 10 3x - 4 = 3x + 7[/tex]

8 - 4x > -12

-4x > -12 - 8

-4x > -20

x < -20/-4

x < 5

[tex]8 - 4x \ \textgreater \ -12 \\ \\ -4x \ \textgreater \ -12 - 8 \\ \\ -4x \ \textgreater \ -20 \\ \\ x \ \textless \ -\frac{20}{4} \\ \\ x \ \textless \ \frac{20}{4} \\ \\ x \ \textless \ 5 \\ \\[/tex]

The final result is: x < 5.

x ≥ 1

Step-by-step explanation:

8 + 4x ≥ 12

Subtract 8 from each side

8-8 + 4x ≥ 12-8

4x ≥ 4

Divide by 4

4x/4 ≥ 4/4

x ≥ 1

Step-by-step explanation:

8x-8=4x+12

8x-4x=12+4

4x=16

x=16/4

x=4

x < 5

Step-by-step explanation:

8-4x>-12

One solution was found :

x < 5

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

8-4*x-(-12)>0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

20 - 4x = -4 • (x - 5)

Equation at the end of step 1 :

Step 2 :

2.1 Divide both sides by -4

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2 Add 5 to both sides

x < 5

Inequality Plot :

2.3 Inequality plot for

-4.000 X + 20.000 < 0

[tex]8 - 4x \ \textgreater \ -12 \\ \\ -4x \ \textgreater \ -12 - 8 \\ \\ -4x \ \textgreater \ -20 \\ \\ x \ \textless \ -\frac{20}{4} \\ \\ x \ \textless \ \frac{20}{4} \\ \\ x \ \textless \ 5 \\ \\[/tex]

The final result is: x < 5.