Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include the terms, "greater than", "greater than or equal to", "less than", or "less than or equal to". -2x + 3 > 3(2x - 1)
Mathematics · High School · Wed Jan 13 2021
Answered on
Given the inequality.
-2x + 3 > 3(2x - 1)
Solve the inequality and use the correct verbal statement:
Solution:
To solve the inequality, we start first by distributing 3 to each value inside the parenthesis, and then we combine similar terms.
-2x + 3 > 3(2x - 1)
-2x + 3 > 6x - 1
Transpose -2x and 1 to the opposite side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
3 + 1 > 6x + 2x
4 > 8x
Divide both sides by 8 in order to determine the value of x.
4/8 > 8x/8
½ > x
The answer can be read as,
One half is greater than x.
Final answer:
½ > x
One half is greater than x.