Solve x<3 and x≥−1 and write the solution in interval notation. If there is no solution, type ∅ .
1 answer:
Shown in the Figure below
Step-by-step explanation:
In this exercise, we have the following system of inequalities:
The word and means intersection, so both inequalities must be true at the same time. We can graph this system as indicated in the figure below. Indeed, there is intersection between -1 and 1. Also, the number -1 is included in the solution because and this is represented by the closed circle. On the other hand, the number 3 is not included in the solution because
and this is represented by the open circle.
Inequalities: brainly.com/question/12261425
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Answer:
y = 7x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)
m = =
= 7, thus
y = 7x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 4), then
4 = 14 + c ⇒ c = 4 - 14 = - 10
y = 7x - 10 ← equation of line