Answer :

Final answer:

To solve for x in the inequality 9x4≤ 23, divide both sides of the inequality by 9 and then divide by 4. The solution is x ≤ 23/36 or x ≤ 0.6389.


Explanation:

To solve for x in the inequality 9x4≤ 23, we divide both sides of the inequality by 9. This gives us x4 ≤ 23/9. Next, we isolate x by dividing both sides by 4. This gives us x ≤ (23/9)/4.

The simplified solution is x ≤ 23/36 or x ≤ 0.6389.

For example, if we substitute x = 0.5 into the original inequality, we get 9(0.5)4 ≤ 23, which simplifies to 9/16 ≤ 23, which is true. Therefore, the solution x ≤ 0.6389 is correct.


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