The solution to an inequality is graphed on the number line.
a number line going from negative 5 to positive 5. a solid circle appears between positive 4 and positive 5. the number line is shaded from the circle to negative 5.
what is another way to represent this solution set?
a. {x | x < 4.5}
b. {x | x ≤ 4.5}
c. {x | x > 4.5}
d. {x | x ≥ 4.5}

Hey!

Open Dot - (< less than) or (> greater than)

Closed Dot - (≤ less than or equal to) or (≥ greater than or equal to)

Solution:

Then number-line shows a closed dot at 4.5. This shows that x is a number that is less than or equal to 4.5!

B. {x | x ≤ 4.5}

Hope This Helped! Good Luck!

19.side- angle- side

20. angle- side- angle

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204