The solution to the inequality in interval form is (-∞, -1/4)
<h3>Inequality expressions</h3>
Inequality are expressions not separates by an equal sign. Given the inequality below;
x+1<3/4
Subtract 1 from both sides to have;
x + 1 - 1 < 3/4 - 1
x < 3/4 - 1
x < (3-4)/4
x < -1/4
Hence the solution to the inequality in interval form is (-∞, -1/4)
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Answer:
choice 2, y=1/4x
Step-by-step explanation:
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The function f(x) is:
f(x)=x
This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.
The function p(x) is:
p(x)=mx+C
Whereby (m) is the slope and (C) is a constant.
m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.
Now when y=-3, x=-3.
So:
-3=-4/3 *(-3) +C
-3= 4 + C
C=-7
This means that:
p(x)=-4/3x -7
Now, where p(x)=g(x), x=-6.
p(-6)=-4/3 * (-6) -7
p(-6)=24/3 -7
p(-6)=8-7
p(-6)=1
Therefore:
p(x) and g(x) meet at (-6, 1) and the solution to p(x)=g(x) is x=-6.