Question

Solve 7x +1 less than or equal to 4x+5and represent the solution graphically in number line

Answer 1

The required solution of $7x+1\leq 4x+5$ is $x\leq\dfrac{4}{3}$.

Refer to the attached image to see the solution in number line.

Step-by-step explanation:

Here, $7x+1\leq 4x+5$

Transposing the variable terms in one side and the constants to the other side, we get

$\quad 7x-4x\leq 5-1$

$\Rightarrow 3x\leq 4$

Dividing both sides by $3$, we get

$\quad \dfrac{3x}{3}\leq \dfrac{4}{3}$

$\Rightarrow x\leq\dfrac{4}{3}$

This is the required solution.

Graphical representation: Since $x\leq\dfrac{4}{3}$, the solution starts from $\dfrac{4}{3}$ and goes more to the left to infinity.