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Which of the following is a solution to 3|x| + 5 = 23 3-6 b. -4 C. 26/3 d. 15 e. The equation has no solution.

User HPringles
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The correct solutions to the equation 3|x| + 5 = 23 are x = 6 or x = -6. The options provided do not list these solutions; therefore, the correct answer is not given in the options.

To find a solution to the equation 3|x| + 5 = 23, first subtract 5 from both sides, which gives us 3|x| = 18. Dividing both sides of the equation by 3 yields |x| = 6. Now, we can consider the two cases where x can either be positive or negative.

When x is positive, x = 6. When x is negative, x = -6. Therefore, the two solutions to the equation are x = 6 or x = -6. Looking at the given options, we have -6 as an option which is (b) -4, but since this is a mistype and should be -6, our correct choice is not listed. Hence, none of the provided options is correct.

User Beusebiu
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