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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: ________ x < –9 x > –9 x < x is less than or equal to negative StartFraction 1 Over 9 EndFraction. X > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.

Respuesta :

Answer:

X>-9

X is greater than -9

Step-by-step explanation:

4(X-3)+4<10+6X

By clearing up the bracket :

4X-12+4<10+6X

Collecting like terms:

4X-6X<10+12-4

-2X<18

Dividing both sides by -2:

-2X/-2>18/-2

Therefore, X>-9

The mission step is in combining like terms which is 4X-8<10+6X instead of 4X-6X<10+8.

The missing step in solving the given inequality 4(x – 3) + 4 < 10 + 6x is; x > -9

How to solve Inequalities?

We are given the inequality as:

4(x – 3) + 4 < 10 + 6x

The steps are given as:

  • The distributive property: 4x – 12 + 4 < 10 + 6x
  • Combine like terms: 4x – 8 < 10 + 6x
  • The addition property of inequality: 4x < 18 + 6x
  • The subtraction property of inequality: –2x < 18

The next step in solving the inequality is to apply the division property of inequality by dividing both sides by -2.

This gives; x > -9

Thus, the missing step in the inequality is x > -9

Read more about Inequalities at; https://brainly.com/question/25275758

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