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LekaFEV [45]
3 years ago
15

-10 + x < -10 Solve the linear inequality for x. plz help

Mathematics
1 answer:
kirill115 [55]3 years ago
4 0

Answer:

The linear inequality for x is -20.

Step-by-step explanation:

- 10 + x <  - 10 \\  \frac{ + 10 \:  \:  \:  \:  \:  \:  \:   \:  \:  <  - 10 \:  \:  \: }{ x <  - 20}

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See bolded below.

Step-by-step explanation:

As you said, you only need help with no. 2:

a) Check the attachments for the lines

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Check:

\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+1\end{bmatrix}

\begin{bmatrix}-4x+1=\left(x-2\right)^2-3\end{bmatrix}

\begin{bmatrix}-4x+1=x^2-4x+1\end{bmatrix}

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Check:

\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+3\end{bmatrix}

Subtract the 2 equations,

y=\left(x-2\right)^2-3\\-\\\underline{y=-4x+3}\\y-y=\left(x-2\right)^2-3-\left(-4x+3\right),\\0=x^2-2\\x = \sqrt{2}, x = - \sqrt{2} \\\\\mathrm{Plug\:the\:solutions\:}x=\sqrt{2},\:x=-\sqrt{2}\mathrm{\:into\:}y=\left(x-2\right)^2-3

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And finally we have the equation y = - 4x. It doesn't intersect the parabola.

c) The y-intercepts of such graphs are all less than or equal to 0.

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