The graph of the solution on number line of the inequality 3x - 2

Question

The graph of the solution on number line of the inequality 3x - 2 < 2x + 1 is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

We have, 3 x-2 < 2 x+1 Transferring the term 2 x to T , H S and the term (-2) to R.H.S. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/d4909b857d40b9b2ca3427aea6b5907c-.png" /> All the numbers on the left side of 3 will be less than it. ∴ Solution set is (-∞, 3)

Q. The graph of the solution on number line of the inequality $3 x - 2 < 2 x + 1$ is

We have, $3 x - 2 < 2 x + 1$
Transferring the term $2 x$ to $T, H S$ and the term (-2) to R.H.S.

All the numbers on the left side of $3$ will be less than it.
$∴$ Solution set is $(- \infty, 3)$

Q. The graph of the solution on number line of the inequality 3x−2<2x+1 is

We have, 3x−2<2x+1 Transferring the term 2x to T,HS and the term (-2) to R.H.S. All the numbers on the left side of 3 will be less than it. ∴ Solution set is (−∞,3)

Q. The graph of the solution on number line of the inequality $3 x - 2 < 2 x + 1$ is

We have, $3 x - 2 < 2 x + 1$
Transferring the term $2 x$ to $T, H S$ and the term (-2) to R.H.S.

All the numbers on the left side of $3$ will be less than it.
$∴$ Solution set is $(- \infty, 3)$