The graph of the solutions of inequality (3 x-4/2) ≥ (x+1/4)-1 on number line is

Question

The graph of the solutions of inequality (3 x-4/2) ≥ (x+1/4)-1 on number line is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

We have, (3 x-4/2) ≥ (x+1/4)-1 or (3 x-4/2) ≥ (x-3/4) or 2(3 x-4) ≥(x-3) or 6 x-8 ≥ x-3 or 5 x ≥ 5 or x ≥ 1 The graphical representation of solutions is given in figure.

Q. The graph of the solutions of inequality $\frac{3 x - 4}{2} \geq \frac{x + 1}{4} - 1$ on number line is

We have,
$\frac{3 x - 4}{2} \geq \frac{x + 1}{4} - 1$
or $\frac{3 x - 4}{2} \geq \frac{x - 3}{4}$
or $2 (3 x - 4) \geq (x - 3)$
or $6 x - 8 \geq x - 3$
or $5 x \geq 5$
or $x \geq 1$
The graphical representation of solutions is given in figure.

Q. The graph of the solutions of inequality 23x−4​≥4x+1​−1 on number line is

We have, 23x−4​≥4x+1​−1 or 23x−4​≥4x−3​ or 2(3x−4)≥(x−3) or 6x−8≥x−3 or 5x≥5 orx≥1 The graphical representation of solutions is given in figure.

Q. The graph of the solutions of inequality $\frac{3 x - 4}{2} \geq \frac{x + 1}{4} - 1$ on number line is

We have,
$\frac{3 x - 4}{2} \geq \frac{x + 1}{4} - 1$
or $\frac{3 x - 4}{2} \geq \frac{x - 3}{4}$
or $2 (3 x - 4) \geq (x - 3)$
or $6 x - 8 \geq x - 3$
or $5 x \geq 5$
or $x \geq 1$
The graphical representation of solutions is given in figure.