Which inequality has no solution? 6 (x 2) greater-than x minus 3 3 4 x less-than-or-equal-to 2 (1 2x) negative 2 (x 6) less-than x minus 20 x minus 9 less-than 3 (x minus 3)

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22-04-2022
Mathematics

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Which inequality has no solution? 6 (x 2) greater-than x minus 3 3 4 x less-than-or-equal-to 2 (1 2x) negative 2 (x 6) less-than x minus 20 x minus 9 less-than 3 (x minus 3)

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 1 · 2022-04-27T14:08:26+02:00

From the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.

What is the inequality equation?

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

From the given equations, the equation which has no solution has to be found out. When the value, does not equate for the expression, then the expression has no solution.

The first equation given in the problem is,

[tex]6 (x +2) > x-3[/tex]

Solve it further,

[tex]6 x +12 > x-3\\6x-x > -3-12\\5x > -15\\x > -3[/tex]

The second equation given in the problem is,

[tex]3+ 4x \leq 2 (1 +2x)[/tex]

Solve it further,

[tex]3+ 4x \leq 2 +4x\\4x- 4x \leq 2-3\\0\leq-1[/tex]

The value of 0 is greater than the number -1. Thus, this inequality has no solution.

The option 3 and 4 has a solution. Hence, from the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.

Learn more about the inequality equation here:

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