Mathematics
06.05.2023 03:09
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Solve the compound inequality 5. -16 2x+8 -6

Solve the compound inequality

5. -16< 2x+8< -6
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alannalizettep8trnj
alannalizettep8trnj
4,5(12 marks)

The correct answers are:

Distributive property; subtraction; addition property of equality.

Explanation:

To get from the first step to the second step, the terms inside parentheses have been multiplied by -2.  The property that allows us to multiply through parentheses, or distribute through parentheses, is the distributive property.

To get from the second step to the third step, the -6 and 4 have been subtracted; this means the reason for this is subtraction.

To get from the fourth step to the fifth step, 10 has been added to each side.  The addition property of equality allows us to do this.

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