Solve the inequality: the absolute value of the sum of

druczekq4

druczekq4

Answered question

2021-12-07

Solve the inequality: the absolute value of the sum of 2 and the product of 3x is smaller than 23

Answer & Explanation

Egreane61

Egreane61

Beginner2021-12-08Added 16 answers

Step 1
Formula used:
If |x| Step 2
Now we have
|2+3x|<23
So
-23<2+3x<23 [using the formula]
Step 3
Now subtracting 2 in above inequality, we get
-25<3x<21
Step 4
Now divide by 3 in above inequality, we get
253<x<7
Step 5
Answer:
253<x<7

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