Question

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

Answer 1

Answer:

B. x>-9

Step-by-step 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

Answer 2

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

Step-by-step 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

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