Need help with this one.8 + I 5x - 3 I > 10
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the inequality:
8 + I 5x - 3 I > 10
Solution:
Notice that 5x -3 is enclosed by || which means the absolute value of the number. Absolute value means the number will be equal to it's positive value, hence if we are given a negative number, it's absolute value will be equal to a positive number. We can rewrite the equation as
8 + I 5x - 3 I > 10
8 + 5x + 3 > 10
3 became positive because of the absolute value sign. The next step is to combine similar terms.
5x + 11 > 10
Now transpose 11 on the other side of the equation, note that when transposing a number, the sign changes.
5x > 10 - 11
5x > -1
Divide both sides by 5 in order to get the value of x.
5x/5 > -1/5
x > -1/5
Final answer:
x > -1/5