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Nadya [2.5K]
2 years ago
5

Find the integer values of x that satisfy both of these inequalities.

Mathematics
2 answers:
Ira Lisetskai [31]2 years ago
8 0

Answer:

x ∈ [-2/3, 3)

Step-by-step explanation:

5 − 3x ⩽ 7 and 4x + 1 < 13, this is given

-3x ≤ 7-5 and 4x < 13 -1, subtract 5 from first inequality and subtract -1 from second

-3x ≤ 2 and 4x < 12, combine like terms

x ≥ -2/3 and x < 12/4, divide by -3 and change the first inequality, and divide the second inequality by 4

x ≥ -2/3 and x < 3

[-2/3, ∞) and (-∞, 3)

x ∈ [-2/3, 3)

Shtirlitz [24]2 years ago
6 0

Answer:

0, 1, 2.

Step-by-step explanation:

5 - 3x <= 7

-3x <= 2

x >= -2/3      (the inequality sign flips as we are dividing by a negative value)

4x + 1 < 13

4x < 12

x < 3.

So the integer values satisfying the inequalities are>

0, 1, 2.

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mash [69]
Start with the general formula. The key word is difference. So the general formula is 

D(x) = W(x) - R(x) Now substitute in the values for W(x) and R(x)
D(x) = 0.002x^3 - 0.01x^2 - (x^2 - 4x  + 13) Be very careful about the sign in front of the brackets.

D(x) = 0.002x^3 - 0.01x^2 - x^2 + 4x - 13 Do you see what that minus sign did? It affected all 3 terms.

D(x) = 0.002x^3 - 1.01x^2 + 4x - 13 <em>Note: -0.01 - 1x^2 = - 1.01 x^2</em>
That gives you a clear cut answer

C<<<<< answer.

That sign is the worst part of the question. Make sure you understand what it did.
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Step-by-step explanation:

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2 years ago
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\\ \ast\sf\longmapsto -12.405

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Let us assume number of n.

The number is decreased by 15.

Decreasing by 15 means, we need to subtract 15 from that number.

So, it would be come n-15.

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