answer is -1 < x < 5
-|x - 2|+ 9 > 6
Rearrange the terms
-|x - 2| > 6 - 9
-|x - 2| > - 3
then divide both sides of the inequality by the co- efficient of variable
|x - 2| < 3
convert the absolute inequality to standard inequality
-3 <x - 2 < 3
separate compound inequalities into system of inequality
{x - 2}> -3
{x - 2 < 3}
Rearrange variable to the left side of the equation
x > -3 + 2
calculate the sum or difference
x > -1
x -2 < 3
Rearrange variable to the left side of the equation
x < 3 + 2
calculate the sum or difference
x < 5
x > -1 and x < 5
Find intersection
-1 < x < 5
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
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Answer:
(4,-2)
Step-by-step explanation:
plug in and simplify;
y+2=-3(x-4)
-2+2=-3(x-4)
0=-3x+12
3x=12
x=4
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❖ The correct answer choice would be B) 15 · 3 if the three is written as an exponent. If the 3 isn't an exponent, none of the choices will work.
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Answer:
the factored equation is ((x^3) + 3x^2) + 2x = 0
Step-by-step explanation:
*The ^ means to the power of.
so you should start off by splitting it into ways, like isolate 2x and start with x^3 and 3x^2, if thats the wrong answer u are not looking for then the other formula is x^3 + 3x^2 + 2x = x • (x^2 + 3x + 2), again just splitting it into ways. since we know the equation is = to 0, we put 2 of them together, and since you can divide everything by x and just put x outside to keep it the same, it would become x^3 + 3x^2 + 2x = x • (x^2 + 3x + 2).
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