I think you need to retype this one. The formatting makes this question difficult to understand.
Answer:
Hello sir
Step-by-step explanation:
The solutions of the equation are x = 15 and x = -20
<h3>How to determine the solutions of the equation?</h3>
The equation is given as:
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
Rewrite the equation properly as:
|2/5x + 1| - 7 = 0
Add 7 to both sides
|2/5x + 1| = 7
Remove the absolute bracket
2/5x + 1 = 7 and 2/5x + 1 = -7
Subtract 1 from both sides
2/5x = 6 and 2/5x = -8
Solve for x
x = 15 and x = -20
Hence, the solutions of the equation are x = 15 and x = -20
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The compound inequality is: x<20 and x>10
Given, a quantity of x is greater than 10 and less than 20.
A compound inequality (also known as a compounded inequality) is created when two or more inequalities are coupled with and. One part of an inequality must be true for a value to be a solution to an or inequality. It must make both parts true in order to be the solution to an inequality. X<3 or X>2, for instance.
Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.
Simply put, a compound inequality is more than one inequality that we want to address simultaneously. When referring to the resolution of both inequalities, we can either use the term "and" or "or."
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