Identify the mistake and correct it in the work shown for solving the following inequality. 9x + 9 > 12x + 6 -3x > -3 x > 1

Given:

The inequality is

To find:

The mistake in the given solution and correct it.

Solution:

We have,

Isolating variable on one side, we get

On dividing both sides by -3,  we get

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

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 .

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the diameter is 16 cm. are you a teacher?

step-by-step explanation: