Priya is simplifying the expression $$ Her work is shown to the left. Priya's work is incorrect. Explain the error she made

Step-by-step explanation:

P.S - The exact question is -

Given - Priya is simplifying the expression -2(4 - 2x) - 3 - 2x  Her work is shown to the left.  

To find - Priya's work is incorrect.  Explain the error she made.

Proof -

Priya simplified the problem as follows :

-2( 4 - 2x ) - 3 - 2x

-8 - 2x - 3 - 2x

-11 - 4x

But the simplification has to be like

-2( 4 - 2x ) - 3 - 2x

⇒-2(4) - 2(-2x) - 3 - 2x

⇒-8 + 4x - 3 - 2x

⇒-8 - 3 + 4x - 2x

⇒-11 + 2x

So, Priya made an error in the second line.

In the second line it has to be -8 + 4x - 3 - 2x but Priya has written -8 - 2x - 3 - 2x.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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