For this case we must resolve the following inequality:

Adding 7 to both sides of the inequality:

Different signs are subtracted and the major sign is placed.

Thus, the solution is given by all the values of "x" less than -5.
The solution set is: (-∞, - 5)
Answer:

See attached image
The resulting function g(x) = (x-5)^3 + 3 shows a horizontal translation to the right by 5 units and vertical translation up by 3 units
<h3>Translation of functions</h3>
Quadratic functions are functions that has a leading degree of 2.
Given the parent function as shown:
f(x) = x^3
The resulting function g(x) = (x-5)^3 + 3 shows a horizontal translation to the right by 5 units and vertical translation up by 3 units
Learn more on translation here; brainly.com/question/12861087
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Applying the factorization method, for example:




Applying the factorization method:



Answer:
Step-by-step explanation:
BD=BL(given)
so ∠BLD=∠BDL=3x
90+∠GBD+30=180
∠GBD=180-120=60°
Also ∠GBD=∠BLD (given)
so ∠BDL=60°
3x=60
x=20°