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Solve each equation. Then graph the solution set.

12x+5=3

Short Answer

Expert verified

The equation12x+5=3 has empty solution set as .

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=b and b0, thena=b or a=b.

02

Step-2. Observe the equation.

In the given equation, 12x+5=3, the distance between 12xand 5 is negative, that is., -3, which is not possible as distance can never be negative.

03

Step-3. State the conclusion.

Since, distance is a non-negative quantity therefore, no value of x would satisfy the equation.

Hence, the solution set will be an empty set for the given equation.

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