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

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

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

d

step-by-step explanation:

d