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.