Question

What is the solution to the inequality lx-4l< 3? –7 < x < –1 1 < x < 7 x < –7 or x < –1 x > 1 or x < 7

Answer 1

$1<x<7$

So, Option B is correct.

Step-by-step explanation:

We need to solve the inequality: $|x-4|< 3$

Solving:

$|x-4|< 3$

The absolute rule says that if |u|<a and a>0, then -a<u<a

So, applying absolute rule:

$|x-4|< 3\\-3<x-4<3$

We can write it as:

$x-4>-3\,\,and\,\,x-4<3\\x>-3+4\,\,and\,\,x<3+4\\x>1\,\,and\,\,x<7$

Combining the intervals:

$1<x<7$

So, Option B is correct.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

• brainly.com/question/1465430
• brainly.com/question/6703816
• brainly.com/question/11788572
• brainly.com/question/4192226

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Answer 2

Answer: B

Step-by-step explanation: Just took test.