Answer
$x\geq \frac{8}{5}$
Work Step by Step
Height of the triangle is $h=10\;ft$.
Base of the triangle is $b=x$.
Area of the triangle is $A=\frac{1}{2}bh$.
Substitute both values.
Area of the triangle is
$A=\frac{1}{2}(10)(x)$.
Simplify.
$A=5x$
Area is greater than or equal to $8$ square feet.
The inequality is
$A\geq 8 $
Substitute the value of $A$.
$5x\geq 8 $
Divide each side by $5$.
$\frac{5x}{5}\geq \frac{8}{5}$
Simplify.
$x\geq \frac{8}{5}$
Hence, the inequality is $x\geq \frac{8}{5}$.
