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Which graph represents the inequality y < -1 + 2x?

Which graph represents the inequality y < -1 + 2x?-example-1

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Answer:

The graph is attached down

Explanation:

The form of the linear inequality is y < b + m x, where

  • m is the slope of the line
  • b is the y-intercept, the point of intersection between the line and the y-axis (0, b)
  • The solution of the inequality is the area under the line

To find which graph represents the inequality y < -1 + 2x

→ Find the y-intercept (the value of y at x = 0)

∴ b = -1

∴ The y-intercept is (0, -1)

From the given graphs we have two graphs that the line intersected the y-axis at (0, -1)

2nd graph in the 1st row

2nd graph in the 2nd row

∵ The sign of inequality is <

∴ The shaded area must be under the line

∴ The 2nd graph in the 1st row is our answer

The graph which represents the inequality y < -1 + 2x is attached down

Which graph represents the inequality y < -1 + 2x?-example-1
User Ioannis Barakos
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