Answer
$x<14$
Work Step by Step
Height of the triangle is $h=6\;m$.
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
$A=\frac{1}{2}(6)(x)$.
Simplify.
$A=3x$
Area is less than $42$ square meters.
The inequality is
$A<42$
Substitute the value of $A$.
$3x<42$
Divide each side by $3$.
$\frac{3x}{3}<\frac{42}{3}$
Simplify.
$x<14$
Hence, the inequality is $x<14$.
