Solve the compound inequality. Then graph the solution set. s-2 <-10 or-3s < 6

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

{s | s < -8 or s >= -2}

Step-by-step explanation:

In order to solve an inequality we simply have to isolate the variable by applying the opposite operations on each side.

s - 2 < -10 ... add 2 to both sides

s < -8

-3s <= 6 ... divide both sides by -3, since we are dividing a negative number you must flip the sign

x >= -2

Therefore the final answer would be {s | s < -8 or s >= -2} which is the 3rd graphed multiple choice answer as seen attached to this answer.

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Three ratios equal to 8/10

Paul [167]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

X^2 + 32x + 256 = 1<br>please show steps

Elena L [17]

$\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Explanation:</h2>

In this case, we have the following equation:

$x^2+32x+256=1$

But we can write this equation as:

$x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0$

So this final result is a quadratic equation written in Standard Form ( $ax^2+bx+c=0$ ). We need to find the solutions to this equations, so let's use quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$