5(3 - x) -4(2 – 3x) > 2 Solve the inequality.
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the numerical inequality:
5(3 - x) -4(2 – 3x) > 2
Solve the inequality.
Solution:
In order to solve the inequality, we simply need to distribute 5 and -4 to each value inside the parenthesis.
5(3 - x) -4(2 – 3x) > 2
15 - 5x - 8 + 12x > 2
Solve for x, by combining similar terms.
7 + 7x > 2
Transpose 7 to the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
7x > 2 - 7
7x > -5
Divide both sides by 7 in order to determine the value of x.
7x/7 > -5/7
x > -5/7
Final answer:
x > -5/7