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: ________ 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.

Answer 1

The missing step in solving the inequality is x > -9

How to determine the missing step?

The inequality is given as:

4(x – 3) + 4 < 10 + 6x?

The steps are given as:

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

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

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

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