Question

Solve the inequality. Graph the solution.

$-\frac{2}{9}+y\le \frac{5}{9}$

Answer 1

Step 1 : Solve the inequality

We have, $-\frac{2}{9}+y\le \frac{5}{9}$

$\Rightarrow -\frac{2}{9}+y+\frac{2}{9}\le \frac{5}{9}+\frac{2}{9}$ [ Add $\frac{2}{9}$ both sides ]

.$\Rightarrow -\frac{2}{9}+y+\frac{2}{9}\le \frac{5+2}{9}$
$\therefore y\le \frac{7}{9}$

Step 2 : Draw the graph

We have, $y\le \frac{7}{9}$

So, the graph is

Hence, the required solution is $y\le \frac{7}{9}$ and the required graph is shown above.