Final answer:
To solve the inequality '5 more than twice a number is greater than -15', we define the number as x and write the inequality as 2x + 5 > -15. By solving the inequality step-by-step, subtracting 5 and then dividing by 2, we find that x is any number greater than -10.
Step-by-step explanation:
To solve the inequality '5 more than twice a number is greater than -15', let's define the variable x as the number. We can write the inequality as:
2x + 5 > -15
To solve for x, we start by subtracting 5 from both sides of the inequality:
2x + 5 - 5 > -15 - 5
2x > -20
Now, we divide both sides by 2 to isolate x:
2x / 2 > -20 / 2
x > -10
So, the solution to the inequality is that x is any number greater than -10. We can use this knowledge to understand that as numbers increase, the value of the expression 2x + 5 also increases, further supporting the solution.