1/4 + 1/2 + x = −3/4 solve for x. (1/4 is one fourth, 1/2 is one half, -3/4 is negative three fourths)

1/4 + 1/2 + x = −3/4

get a common denominator 1/4

1/4 +2/4 +x = -3/4

combine like terms

3/4 +x =-3/4

subtract 3/4 from each side

x = -3/4 -3/4

x = -6/4

divide top and bottom by 2

x = -3/2

x = -1   1/2

Answer : x = -1  1/2

x = -7/4

Step-by-step explanation:

Identify the LCD (it is 4) and mult. all terms of the given equation by it:

1 + 2 + 4x = -3

Then:   4x = -3 -2 -1, or 4x = -7.  Therefore, x = -7/4.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

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step-by-step explanation: