-2x + 5 + x ≤ 3x + 13

Answer 1

To solve this inequality, let's combine like terms:

-2x + 5 + x ≤ 3x + 13

To simplify, we can combine the x terms on the left side of the inequality:

-x + 5 ≤ 3x + 13

Next, let's move all the terms involving x to one side of the inequality:

-x - 3x ≤ 13 - 5

This simplifies to:

-4x ≤ 8

Finally, divide both sides of the inequality by -4 (remember to reverse the inequality sign because we are dividing by a negative number):

x ≥ -2

So, the solution to the inequality is x is greater than or equal to -2.