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Naddika [18.5K]
3 years ago
12

Solve ( x + 1 < 5) ∩ ( x - 4 > -3).

Mathematics
1 answer:
qaws [65]3 years ago
3 0

The intersection of (x+1-3) is (1,4)

Explanation:

The expression is (x+1-3)

To determine the intersection of these two inequalities, let us solve the two inequalities separately.

Consider x+1

Subtracting both sides by 1, we have,

x

Also, consider x-4>-3

Adding both sides by 4, we have,

x>1

Using these two simplified inequalities in the expression, we have,

(x1)

Writing this in the interval notation, we get,

(-\infty, 4) \cap(1, \infty)

Hence, the intersection of the two interval is

(1,4)

Thus, the intersection of (x+1-3) is (1,4)

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