Solve the following inequality: –1 > –2(x – 4) – 5(4x – 7).

Answers

Answer is B. x > 2 
hope it helps

–1   > –2(x – 4) – 5(4x – 7)
–1   > –2x + 8 – 20 x + 35
–1   > -22x + 43
22x > 44
    x > 44/22
    x > 2

–1 > –2(x – 4) – 5(4x – 7)

distribute

-1> -2x+8-20x+35

combine like terms

-1> -22x+43

subtract 43 from each side

-44> -22x

divide by -22 (remember to flip the inequality symbol)

2<x

–1 > –2(x – 4) – 5(4x – 7)

distribute

-1> -2x+8-20x+35

combine like terms

-1> -22x+43

subtract 43 from each side

-44> -22x

divide by -22 (remember to flip the inequality symbol)

2<x

x<2

Step-by-step explanation:

-1>-2(x-4)-5(4x-7)

-1>-2x+8-20x+35

-1>-22x+43

when a negative number crosses to a side, the sign changes

22x<1+43

22x<44

22x/22<44/22

x<2

The solution of the inequality is:

x2

Step-by-step explanation:

Given inequality:

-1 -2(x - 4)-5(4x-7)

Solving the inequality.

Using distribution.

-1 (-2x) +((- 4)(-2))+(-5\times4x)+((-5)(-7))

-1 -2x +8-20x+35

Combining like terms

-1 -2x-20x+35+8

-1 -22x +43

Adding 22x both sides.

-1+22x -22x +43+22x

-1 +22x 43

Adding 1 both sides.

-1+1 +22x 43+1

22x44

Dividing both sides by 22.

\frac{22x}{22}\frac{44}{22}

x2

Thus, the solution of the inequality is:

x2

A

Step-by-step explanation:

−1>−2(x−4)−5(4x−7)

Step 1: Simplify both sides of the inequality.

−1>−22x+43

Step 2: Flip the equation.

−22x+43<−1

Step 3: Subtract 43 from both sides.

−22x+43−43<−1−43

−22x<−44

Step 4: Divide both sides by -22.

−22x

−22

<

−44

−22

x>2

-1 >-2(x-4)-5(4x-7)
-1 >-2x+8-20x+35
-1 >-22x+43
-1-43 >-22x
-44 >-22x
Divide by 22:
-2 > -1x
Multipy by -1:
2 < x
x > 2
-1 > -2(x-4) - 5(4x - 7)
-1 > -2x + 8 - 20x + 35
-1 > -22x + 43
-1 - 43 > - 22x
-44 > - 22x
-44/-22 < x
2 < xor x > 2
You will want to solve for x.
-1>-2(x-4)-5(4x-7)           Multiply
-1>-2x+8-20x+35            Add like terms
-1>-22x+43                     Subtract 43 from both sides
-44>-22x                         Divide -22 (since negative, flip inequality sign)
2<x                                 The answer

So x>2

I hope this helps... Have a great day!
-1>-2(x-4)-5(4x-7)
-1>-7(5x-11)
+7  +7
6>5x-11
+11  +11
17>5x
/5  /5
3.4>x
x<3.4


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