Answer:
and 
Step-by-step explanation:
we have

we know that
Compound inequality can be divided into two inequalities
so

rewrite

and

therefore
An equivalent form of the compound inequality is
and 
Answer:
20 questions
Step-by-step explanation:
Given




Required
Number of questions answered
First, we need to get the total correct marks obtained by Roy
This is calculated by multiplying the correct marks by number of correct answers


Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy


Open bracket


Divide this by -2 to get the number of incorrect answers


Add this to the number of correct answers to give the total number of question answered



<em>Hence, Roy answered a total of 20 questions</em>
24ft is the hypotenuse, at an angle of 75<span>⁰, and we need to find the adjacent.
We use cos(), which is adjacent divided by hypotenuse.
Therefore, we can find the adjacent by doing:
25 * cos(75) = 6.47ft
Round the answer however you like.</span>
Answer:i THINK 79, i dont know fully, but i think 79
Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}