In this question, you're solving the inequality for x.
Solve:
-1/3(6x - 15) + 6x > 8x - 11
Distribute the -1/3 to the variables in the parenthesis.
-2x + 5 + 6x > 8x - 11
Combine like terms
4x + 5 > 8x - 11
Subtract 8x from both sides
-4x + 5 > - 11
Subtract 5 from both sides
-4x > -16
Divide both sides by -4, while also flipping the inequality, since you're dividing by a negative.
x < 4
Answer:
x < 4
The property used in the equation is called Distributive property.
<h3>What is
Distributive property?</h3>
The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.
Given an equation, 4 x (5 + 6) = (4 x 5) + (4 x 6)
The property used in this equation is distributive property.
a(b+c) = (a*b)+(a*c)
Hence, The property used in the equation is called Distributive property.
For more references on Distributive property, click;
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The volume of a cube is V=x³ where x is the side length. The volume of a cube can also be written as V=lwh, where l is length, w is width and h is height. since the given side length to us is 9.2, we can put that into the formula.
V=9.2³, or V=9.2*9.2*9.2
V=778.688in³
Well 392 = 300 (Hundred), 90 (Tens), 2 (Ones)