Question

Solve the inequality. Graph the solution.

$1.2(j+3.5)\ge 4.8$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow 1.2(j+3.5)\ge 4.8$

$\Rightarrow 1.2(j+3.5)\times \frac{1}{1.2}\ge 4.8\times \frac{1}{1.2}$ [ Divide by$1.2$ both sides ]

$\Rightarrow j+3.5\ge 4$

$\Rightarrow j+3.5–3.5\ge 4–3.5$ [ Subtract 3.5 from both sides ]

$\Rightarrow j\ge 0.5$

Step 2 : Solve the Graph

We have,

$\Rightarrow j\ge 0.5$

So, the graph is

Hence, the required solution is $j\ge 0.5$ and the required graph is shown above.