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(4 - x ≤ -1) ∩ (2 + 3x ≥ 17)

User Longfei Wu
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1 Answer

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Step-by-step answer:

Given:

two inequalities:

4-x <= -1 ........................(1)

2+3x >= 17......................(2)

Required: find the solution of the intersection of inequalities.

Solution:

Solution to (1):

4-x <= -1 transpose

4+1 <=x simplify

5 <= x rewrite

x >= 5

Solution to (2)

2+3x >= 17

3x >= 17-2

3x >= 15

x >= 5

The intersection of the two solutions x>=5 and x>=5 is therefore x>=5

Check:

x=4, => 4-4 = 0 >1 so not a solution

x=4, => 2+3(4) = 14 < 17 so not a solution

x=5, => 4-5 = -1 so a solution

x=5, => 2+3(5) = 17, so a solution.

similarly for 6, 7, ....

User Walino
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