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What is the solution set to: -2|x-1|-3≥7

All real numbers
[-6,1]
no solution
(-∞,-6) U [1,∞)

1 Answer

6 votes

Answer:no solution

Explanation:

To solve the inequality -2|x-1|-3≥7, we can use the following steps:

Add 3 to both sides of the inequality:

-2|x-1|≥10

Divide both sides of the inequality by -2. Since we are dividing by a negative number, we need to reverse the direction of the inequality:

|x-1|≤-5

The absolute value of a number is always non-negative. Therefore, there are no real numbers that satisfy this inequality.

Hence, the solution set to the inequality -2|x-1|-3≥7 is no solution.

User Marcelorodrigues
by
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