Question

First consider the system of equations y= -1/2x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x + 1 and y < x - 5. When comparing the number of solutions in each of these systems, which statement is true?

A. Both systems have an infinite number of solutions
B. The system of equations has more solutions
C. The system of inequalities has more solutions
D. Both systems have only one solution

Answer 1

Answer:

the answer is C, NOT B

Step-by-step explanation:

Answer 2

The system of inequalities will have more solutions than the system of equations , Option C is the corrrect answer.

What are Inequalities ?

Inequality is the relation between two unequal numbers or algebraic expression.

The inequality symbols are less than , greater than , less than equal to, greater than equal to.

It is given in the question that

the system of equations y= -1/2x + 1 and y = x - 5.

the system of inequalities y > -1/2x + 1 and y < x - 5.

x-5 = -1/2 x +1

2x+x=6*2

3x = 12

x = 4

x-5 >-1/2 x +1

x>4

The system of inequalities generally have more solutions and in this case definitely have more solutions than the system of equations.

To know more about inequalities

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