Question

Write a word problem using the information from the given equation and inequality. 58x−170>42x+320

a) What is the value of x?
b) How many solutions does the inequality have?
c) Is there a solution where x is negative?
d) Is the solution a whole number?

Answer 1

To create a word problem using the given equation and inequality, first simplify the inequality to x > 30.625. There is only one solution, which is greater than 30.625 and is not a whole number. There is no solution where x is negative.

Step-by-step explanation:

To create a word problem using the given equation and inequality, first, let's simplify the inequality:

58x - 170 > 42x + 320

Combine like terms:

16x - 170 > 320

Add 170 to both sides:

16x > 490

Divide both sides by 16:

x > 30.625

a) The value of x is greater than 30.625.

b) Since the inequality is strict (>) and not inclusive (=), there is only one solution.

c) No, there is no solution where x is negative, as the inequality requires x to be greater than 30.625.

d) No, the solution is not a whole number.