Topic

Question

Solution and representation of inequalities
Question
3x+14 > 5x+34

Answer 1

Solution:

To solve the inequality 3x + 14 > 5x + 34, we first need to isolate the variable x on one side of the inequality sign.

Subtracting 3x from both sides, we get:

14 > 2x + 34

Next, subtracting 34 from both sides, we get:

-20 > 2x

Finally, dividing both sides by 2, we get:

x < -10

Thus, the solution to the inequality 3x + 14 > 5x + 34 is x < -10.

Representation:

Graphically, this solution would be represented as a number line with an open circle at -10 (since it is not included in the solution) and the numbers less than -10 shaded to the left to represent x < -10.