Respuesta :

Answer:

Inequality 1:  [tex]y < 3[/tex]

Inequality 2:  [tex]x \leq -1[/tex]

Step-by-step explanation:

To write inequalities using a graph, remember these tips:

  • If the line is solid, the equality symbol will be either ≤ or ≥.
  • If the line is dashed, the equality symbol will be either < or >.
  • When the shaded area is above the line the equality symbol will be > or ≥.
  • When the shaded area is bellow the line, the equality symbol will be < or ≤.
abidemiokin

The system of linear inequalities represented by the graph are;

Inequality 1: y < 3

Inequality 2: x ≥ -1.

The equation of horizontal lines is always expressed in the form y = a where "a" is the point where the line cuts the y axis.

From the graph shown for line 1, we can see that the horizontal line cuts the y-axis at 3, hence the equation of the line will be y < 3.

  • Inequality sign is less than since the line is a broken line and shaded below the graph.

Similarly;

The equation of vertical lines is always expressed in the form x = b where "b" is the point where the line cuts the x-axis.

From the graph shown for line 2, we can see that the vertical line cuts the x-axis at -1, hence the equation of the line will be x ≥ -1.

  • The inequality sign is greater than and equal to since the line is a solid line and shaded to the right the graph.

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