Respuesta :
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: 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.
