Question

Write an inequality for the word problem and answer the question about the inequality. O e angle is 30 degrees more than another angle. The sum of the angles. Is equal to or less than 90 degrees. Could the smaller angle be 30 degrees??

Answer 1

Answer:

Let´s call g and s the angles, then we can set the following equality and inequality:

$\begin{gathered} g=s+30, \\ g+s\le90. \end{gathered}$

Substituting g=s+30 in the inequality we get:

$s+30+s\le90.$

Solving the above inequality for s we get:

$\begin{gathered} 2s+30\le90, \\ 2s\le90-30, \\ s\le\frac{60}{2}=30. \end{gathered}$

Therefore, the smaller angle has to be smaller or equal to 30 degrees.

The smaller angle can be 30 degrees.