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zmey [24]
3 years ago
6

Solve the inequality for W: 5W - 23 < - 3 (3 - 4W)

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0
5w−23<−3(3−4w)

Simplify both sides of the inequality.

5w−23<12w−9

Subtract 12w from both sides.

5w−23−12w<12w−9−12w

−7w−23<−9

Add 23 to both sides.

−7w−23+23<−9+23

−7w<14

Divide both sides by -7.

−7w/−7 < 14/−7

w > −2

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The three numbers are 7 8 and 9

Step-by-step explanation:

Givens

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  • Let the second number be n
  • Let the third number = n + 1

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(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480

Solution

Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1

Multiply the second integer by the result of the first and third: n (n^2 - 1)

Add the three integers together: (x - 1) + (n - 1) + n = 3n  Combine these 2 steps

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n^3 - n - 3n = 480

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n^3 - 4n - 480 = 0

Graph

The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.

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