Answer :
The interval notation is { 5/ 2 < x > 0 }
How to determine the value
Given the inequalities;
- 2x−1<4
- −5x−3>−3
To determine the value of x, we have;
2x - 1 < 4
collect like terms
2x < 4 + 1
2x < 5
Make 'x' the subject
x < 5/ 2
−5x −3 > −3
collect like terms
-5x > -3 + 3
-5x > 0
x > 0
Thus, the interval notation is { 5/ 2 < x > 0 }
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