Question

Darian wants to run more than 5 miles this week so far he has run 2 3/4 miles write and solve an inequality to determine how many more miles Darian must run to meet his goal

Answer 1

X + 2.75 (2 3/4 is 2.75) $\geq$ 5
Then we subtract 2.75 from both sides
x $\geq$ 5 - 2.75
x $\geq$ 2.25

Answer 2

To do this, we'll set up a variable. We can use the variable x to signify Darian's remaining miles.

If he wants to run more than 5 miles but has already run 2 3/4, we must set up an inequality:
$x \geq 5-2 \frac{3}{4} \\ x \geq \frac{20}{4} - \frac{11}{4} \\ x \geq \frac{9}{4} \\ x \geq 2 \frac{1}{4}$

Darian must run greater than or equal to 2 and 1/4 miles. 

Hope this helps!