To solve the inequality 5x + 10 ≥ 2x + 16, you'll want to isolate the variable x. Here's the step-by-step process:
Start with the given inequality:
5x + 10 ≥ 2x + 16
Subtract 2x from both sides to move the variable terms to one side:
5x - 2x + 10 ≥ 2x - 2x + 16
This simplifies to:
3x + 10 ≥ 16
Next, subtract 10 from both sides to isolate the variable term:
3x + 10 - 10 ≥ 16 - 10
Simplify:
3x ≥ 6
Finally, divide both sides by 3 to solve for x:
(3x)/3 ≥ 6/3
This simplifies to:
x ≥ 2
So, the solution to the inequality is:
x ≥ 2
This means that any value of x that is greater than or equal to 2 satisfies the inequality.