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AssignmentMultiple Select

Inequalities in the Real World

Question 3 • *Integrated Math II Full

Which of the following equations have no solution? Check all that apply.

Answer
A
6x + 1 = 3(2x – 4)
B
2 – 5x = 7x – 12
C
4(3 – x) = 2(6 – 2x)
D
5(x + 2) = 2(x – 4)
E
–4(x + 3) = 4(–x – 1)

Explanation

For A, distributing gives 6x + 1 = 6x − 12. Subtracting 6x from both sides leaves 1 = −12, which is impossible, so A has no solution. For E, distributing gives −4x − 12 = −4x − 4; adding 4x to both sides leaves −12 = −4, also impossible, so E has no solution. The other equations yield a specific value of x or are true for every x.

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