Let a be the number of shares of able records and b be the number of shares of best bakes.
\The dividend of one share of able records is 1.20 dollars and the dividend of one share of best bakes is 1.30 dollars.
\The dividend of a share of able records is 1.20a dollars and the dividend of b share of best bakes is 1.30b dollars.
\The total amount earn on these stocks is at least 9000 dollars.
\The word at least
means
greater than or equal
and its symbol
.
Therefore, this situation represent the inequality .
The inequality is .
The graph of the inequality is the shaded region, so every point in the shaded region satisfies the inequality.
The graph of the equation is the boundary of the region. Since the inequality
, the boundary is drawn as a solid line to show that points on the line satisfy the inequality.
To determine which half-plane to be shaded use a test point in either half-plane.
\Substitute the value of in the original inequality.
.
Since the above statement is false, shade the region that does not contain point .
No, he will not make enough from 3000 shares of each company.