Test Index

Linear Inequalities

© examsnet.com

Question : 43 of 54

Marks: +1, -0

The Solution of

x

in the equality

8 x+6 < 12 x+14

is

$(-2,2)$
$(0,-2)$
$(2, \infty)$
$(-2, \infty)$

Solution:

Concept:

Solve a linear inequality by isolating the variable.

Explanation:

Given

8x + 6 < 12x + 14

.

Subtract

8x

from both sides:

6 < 4x + 14

.

Subtract

14

from both sides:

-8 < 4x

.

Divide both sides by

4

:

-2 < x

, i.e.,

x > -2

.

Thus the solution in interval notation is

(-2, \infty)

.

Answer:

x \in (-2, \infty)

, which corresponds to option D.

© examsnet.com

Go to Question:

Prev Question

Next Question