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Solve and graph the compound inequality. s + 4 < −5 OR 2 + s ≥ 4

User NoBullMan
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Answer:

Explanation:

To solve a compound inequality of the form "s + 4 < -5 OR 2 + s >= 4", we can solve each inequality separately and then combine the solutions to get the final solution.

For the inequality "s + 4 < -5", we can solve it by moving all the terms to the left-hand side of the inequality sign:

s + 4 - 4 < -5 - 4

s < -9

For the inequality "2 + s >= 4", we can solve it by moving all the terms to the left-hand side of the inequality sign:

2 + s - 2 >= 4 - 2

s >= 2

The solution to the compound inequality "s + 4 < -5 OR 2 + s >= 4" is the set of all values of s that satisfy either of these two inequalities. This is shown graphically by the shaded region in the graph below:

[Graph not provided] not doing a graph use desmos to graph it

We can see from the graph that the solution to the compound inequality is all values of s that are less than -9 or greater than or equal to 2.

I hope this helps! Let me know if you have any questions.

User Genish Parvadia
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