Question

This is algebra 1

Determine if (2,4) is a solution to this inequality: y < 2x + 2. Explain your reasoning.

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Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.

Answer 2

Yes

Explanation:

To check if (2,4) is a solution to the inequality, y<2x+2, substitute the values of x and y in the inequality and see if it holds good for those values

y=4, x=2

Let's see if 4<2*2+2 => 4<4+2 => 4<6

And the inequality is true. So, (2,4) is a solution to this inequality