Question

Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money, but he must work fewer than 16 hours this week. Write an inequality to represent this situation, and then graph the solution.

Answer 1

The required inequality is:
`6\leq x<16`

Explanation:

Consider the provided information.

Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money, but he must work fewer than 16 hours this week.

Let the number of hours Gurnaz work is represented by x.

Gurnaz will need to work for at least six hours to save enough money,

That means he can work 6 or more than 6 hours,

`x\geq 6`

He must work fewer than 16 hours this week. That means the value of x should be less than 16.

`x<16`

Thus, the required inequality is:
`6\leq x<16`

Now draw the graph of the inequality.

Use a dot or close circle to represents ≤ or ≥ and use a open circle to represent < or >.

The value of x is greater than or equal to 6 also the value of x is less than 16. The required graph is shown below.