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2 years ago

Solve the compound inequality. x+3<0 or 5x>−10

Mathematics

2 answers:

MrRa [10]2 years ago

7 0

Answer:

x < – 3 or x > – 2

Step-by-step explanation:

For x + 3 < 0 :

subtract 3 from both sides of the inequality:

x + 3 – 3 < 0 – 3

x + 0 < – 3

x < –3

For 5x > – 10:

Divide both sides of the inequality by 5 to isolate x:

$\frac{5x}{5} > \frac{-10}{5}$

x > –2

Therefore:

x < – 3 or x > –2

Interval notation: [(– ∞, –3) ∪ (–2, ∞)]

IgorC [24]2 years ago

5 0

Answer:

$x + 3 < 0 \: \: or \: \: 5x > - 10 \\ \\ x < - 3 \: \: or \: \: x > - 2 \\ \\ { \boxed{ \: \: - 3 < x < - 2 \: \: }}$

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I need help solving for x

Vlada [557]

Answer:

7.5

Step-by-step explanation:

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2 years ago

3 1/2 - 4 2/5 how do i do this?

Nadusha1986 [10]

Answer:

Ok so first you would have to turn them into improper fractions which is

3 $\frac{1}{2\\}$ = $\frac{7}{2}$ and 4 $\frac{2}{5}$ = $\frac{22}{5}$

So now that you have made them both improper fractions you have to find common denominators.

To find common denominators you must multiply both the numerator and the denominator by the same thing. Since your oposing fraction has a denominator of 5 you can know that a even number wont go in an odd number so take $\frac{22}{5}$ and mutiply both numbers by 2 and get $\frac{44}{10}$ . Then mutiply both numbers in $\frac{7}{2}$ by 5 to get a common denominator.

$\frac{35}{10}$

$\frac{35}{10} -$ $\frac{44}{10}$ =35 - 44 = -9 so your answer is $-\frac{9}{10}$

Step-by-step explanation:

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3 years ago