What is the solution set for the following inequality?4x – 3 + 6x > 5x + 7
Question
What is the solution set for the following inequality?4x – 3 + 6x > 5x + 7
Solution
Sure, let's solve the inequality step by step:
-
First, combine like terms on both sides of the inequality. This gives us:
4x + 6x - 3 > 5x + 7 10x - 3 > 5x + 7
-
Next, subtract 5x from both sides to get the x terms on one side:
10x - 5x - 3 > 7 5x - 3 > 7
-
Then, add 3 to both sides to isolate the x term:
5x > 7 + 3 5x > 10
-
Finally, divide both sides by 5 to solve for x:
x > 10/5 x > 2
So, the solution set for the inequality 4x – 3 + 6x > 5x + 7 is x > 2.
Similar Questions
Which value below is included in the solution set for the inequality statement?-3(x - 4) > 6(x - 1)
Which of the following represents the solution of the inequality(4x - 3)(1 - x) > 0?
Which choice is the solution to the inequality:x2 – 4x–5 > 0
Solve the inequality 3x−19>7x.
Determine the values of x for the following inequality x2 – 3x – 28 < 0? – 4 < x < 7 4 < x < -7 - 4 < x < -7 4 < x < 7 None of these
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.