Question

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?

1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x 3.
The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________

A. x < –9

B. x > –9

C. x < -1/9

D.x > –1/9

Answer 1

Answer: The missing step in the inequality is B. x > –9

Explanation:

Hi, in step 4 we have: –2x < 18.

By applying the division property of inequality we divide each side by -2.

When we divide both sides of an inequality by a negative number, the inequality swaps over.

So, mathematically speaking:

–2x/-2 < 18/-2

x > -9

In conclusion, the missing step in the inequality is option B. x > –9

Feel free to ask for more if it´s necessary or if you did not understand something.

Answer 2

B. x>-9

Explanation:

the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?

1. The distributive property: 4x – 12 + 4 < 10 + 6x

2. Combine like terms: 4x – 8 < 10 + 6x 3.

The addition property of inequality: 4x < 18 + 6x

4. The subtraction property of inequality: –2x < 18

5. The division property of inequality: ________

-2x<18

dividing both sides by -2,the sign of inequality will change

x>-9

Hence, the correct option is:

B. x>-9