The reasons put into the correct order to justify solving the inequality:
- -2(x + 6) < 3(x + 1) - Given
- -2x - 12 < 3x + 3 - Distributive Property
- -2x < 3x + 15 - Addition Property of Order
- -5x < 15 - Subtraction Property of Order
- x > 3 - Division Property of Order
<h3>Justify each property of equality</h3>
-2(x + 6) < 3(x + 1) - Given
-2x - 12 < 3x + 3 - Distributive Property
-2x < 3x + 15 - Addition Property of Order
-5x < 15 - Subtraction Property of Order
x > 3 - Division Property of Order
Check how to solve:
-2(x + 6) < 3(x + 1)
Open the parenthesis
-2x - 12 < 3x + 3
Add 12 to both sides
-2x - 12 + 12 < 3x + 3 + 12
-2x < 3x + 15
Subtract 3x from both sides
-2x - 3x < 3x + 15 - 3x
- 5x < 15
divide both sides by -5
x > 3
Therefore, the solution to the given inequality -2(x + 6) < 3(x + 1) is x > 3.
The properties mentioned above are properties of inequalities and hold for all situations of inequalities as given.
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Answer:
= −21x−7
Step-by-step explanation:
−7(1+3x)
=(−7)(1+3x)
=(−7)(1)+(−7)(3x)
=−7−21x
= −21x−7
Function notation<span> is the way a </span>function<span> is written. It is meant to be a precise way of giving information about </span><span /><span>the</span>function<span> without a rather lengthy writtern</span>
A. Multiple the input by 11.
The expression which can be used to determine the algebraic sum of the given polynomials as in the task content is; -11x² +4x +14.
<h3>Which expression can be used to find the sum of the given polynomials?</h3>
It follows from the task content that the polynomials whose sum are to be determined are; (9 - 3x2) + (-8x2 + 4x + 5).
Hence, the sum can be evaluated as follows;
= 9 - 3x² + -8x² + 4x + 5
= -11x² +4x +14.
Consequently, the required expression is; -11x² +4x +14.
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