How do you write $- 5 - 11 x > 5 - 7 x$ $-5-11x>5-7x$ in interval notation?

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How do you write $- 5 - 11 x > 5 - 7 x$ $-5-11x>5-7x$ in interval notation?

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Answer 1 · 2017-01-30T23:45:02

First, you must solve: $- 5 - 11 x > 5 - 7 x$ $-5 - 11x > 5 - 7x$

Explanation:

Add 7x to both sides: $- 5 + 7 x - 11 x > 5 - 7 x + 7 x$ $-5 + 7x - 11x > 5 - 7x + 7x$
Add 5 to both sides: $5 + - 5 - 4 x > 5 + 5$ $5 + -5 - 4x > 5 + 5$
Simplify: $- 4 x > 10$ $-4x > 10$ , then divide by -4 and switch the inequality symbol.
$(\frac{- 4 x}{- 4}) < (\frac{10}{- 4})$ $((-4x)/-4)<(10/-4)$
$x < - \frac{5}{2}$ $x < -5/2$

Now, you should write your answer in interval notation, as follows: $(- \infty, - \frac{5}{2})$ $(-oo,-5/2)$ which represents all real numbers from $- \infty$ $-oo$ up to but not including $- \frac{5}{2}$ $-5/2$ .

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How do you write $- 5 - 11 x > 5 - 7 x$ $-5-11x>5-7x$ in interval notation?

1 Answer

Explanation:

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How do you write −5−11x>5−7x-5-11x>5-7x in interval notation?

1 Answer

Explanation:

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How do you write $- 5 - 11 x > 5 - 7 x$ $-5-11x>5-7x$ in interval notation?