Math  /  Algebra

QuestionSolve the compound inequality. 2y2>4 or 3y+3152 y-2>-4 \text { or } 3 y+3 \leq-15
Write the solution in interval notation. If there is no solution, enter \varnothing.

Studdy Solution
Combine the solutions using the union of intervals.
The solution to the compound inequality is the union of the solutions to the individual inequalities:
y>1ory6 y > -1 \quad \text{or} \quad y \leq -6
In interval notation, this is:
(,6](1,) (-\infty, -6] \cup (-1, \infty)

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