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  • CUET UG Mathematics Applied
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CUET UG Mathematics Applied Previous Year Questions (PYQs)

CUET UG Mathematics Applied Inequation PYQ

CUET UG Mathematics Applied PYQ
The system of linear inequalities $2x-1 \ge 3$ and $x-3>5$ has solution:





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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

First inequality:

$2x-1 \ge 3$

$2x \ge 4$

$x \ge 2$

Second inequality:

$x-3>5$

$x>8$

Common solution:

$x>8$

So solution set is

$(8,\infty)$
CUET UG Mathematics Applied PYQ
The values of $x$ which satisfied $|3x| \ge |6-3x|$
A. $(0,1]$
B. $[1,4]$
C. $(4,\infty)$
D. $(-1,0)$
E. $(-\infty,0)$

Choose the correct answer from the options given below:





Go to Discussion
CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

Given

$|3x| \ge |6-3x|$

$3|x| \ge 3|2-x|$

Divide by 3:

$|x| \ge |2-x|$

Square both sides:

$x^2 \ge (2-x)^2$

$x^2 \ge 4-4x+x^2$

Cancel $x^2$:

$0 \ge 4-4x$

$4x \ge 4$

$x \ge 1$

So solution set:

$[1,\infty)$

From given intervals:

B: $[1,4]$ ✔
C: $(4,\infty)$ ✔

CUET UG Mathematics Applied

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CUET UG Mathematics Applied

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