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jeka57 [31]
2 years ago
7

Identify the mistake and correct it in the work shown for solving the following inequality. 9x + 9 > 12x + 6 -3x > -3 x &g

t; 1
Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0

Given:

The inequality is

9x+9>12x+6

To find:

The mistake in the given solution and correct it.

Solution:

We have,

9x+9>12x+6

Isolating variable on one side, we get

9x-12x>6-9

-3x>-3

On dividing both sides by -3,  we get

\dfrac{-3x}{-3}

Because if an inequality is multiplied or divided by a negative number, then the sign of inequality must be changed.

x

Therefore, there is a mistake in last step because the sign of inequality remains same after diving it by -3 and the correct solution is x.

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