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Orlov [11]
3 years ago
9

How would you write out 'x is not equal to 2 and x is not equal to 7' Algebraically and in Interval Notation?

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0
Algebraically:
x ≠ 2, 7
Interval Notation:
2 ≠ x ≠ 7
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Solve the combined inequality x + 3 > -5 and -4x ≥ -16 showing all of your work
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Well for the first one you have to subtract 3 on both sides so that would make the equation x > -8 (because a negative subtracting a positive is basically a negative plus negative) and so your equations done.  For the second one you divide both ides by -4 so your equation would be x < 4 (the sign would be less then or qual to because you divided by a negative)
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Find an equation of the sphere with center (2, −10, 3) and radius 5. $$25=(x−2)2+(y−(−10))2+(z−3)2 use an equation to describe i
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In the x,y plane, we have z=0 everywhere. So in the equation of the sphere, we have

25=(x-2)^2+(y+10)^2+(-3)^2\implies(x-2)^2+(y+10)^2=16=4^2

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In the x,z plane, we have y=0, which gives

25=(x-2)^2+10^2+(z-3)^2\implies(x-2)^2+(z-3)^2=-75

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In the y,z plane, x=0, so

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3 years ago
Can somebody help me with all of them my mom is kinda getting annoying..
tatuchka [14]

Answer:

These are the answers for question 3 only.

Step-by-step explanation:

3)

a. 3 <u>></u> -3

b. 12 <u><</u> 24

c. -12 <u>></u> -24

d. 5 <u>></u> -(-5)  - (I'm not sure about this one)

e. 7.2 <u>></u> 7

f. -7.2 <u><</u> -7

g. -1.5 <u>=</u> -3/2

h. -4/5 <u>></u> -5/4

i. -3/5 <u>=</u> -6/10

j. -2/3 <u><</u> 1/3

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