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Solve the compound inequality

4v+4 ≥20 or 2v-1 ≥-7

Write the solution in interval notation

User Sumanta
by
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1 Answer

4 votes

Explanation:

we can do all the things we did with equations (equalities) also with inequalities.

the only exception : when multiplying by a negative number the inequality sign flips direction.

4v + 4 >= 20 | divide both sides by 4

v + 1 >= 5

v >= 4

2v - 1 >= -7

2v >= -6

v >= -3

so, the interval for v that satisfies both inequalities is

[4, infinity)

because starting with 4 (and then any number larger than 4) this is also valid for the second inequality.

but any value between -3 and +4 is invalid for the first inequality.

please not that I used the round bracket for the infinity side, because infinity is not a value that can be reached. so, it cannot be included in the interval.

User Peter Sirka
by
8.6k points

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