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What Negative Value of X Makes the Equation 10+vert 3x+6vert =30 True? A -15(1)/(3) B -11(1)/(3) C -8(2)/(3) D -4(2)/(3)

Question

What negative value of x makes the equation 10+vert 3x+6vert =30 true? A -15(1)/(3) B -11(1)/(3) C -8(2)/(3) D -4(2)/(3)

Solution

Verificación de expertos
4.2 (342 Votos)
Joana Mestre · Tutor por 5 anos

Resposta

To solve the equation , we first isolate the absolute value expression by subtracting 10 from both sides of the equation: Next, we consider the two cases for the absolute value expression:Case 1: Case 2: Therefore, the negative value of x that makes the equation true is , which corresponds to option C.