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linear inequalities
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The solution for the following system of inequalities \( 3x - 7 < 5 + x \) and \( 11 - 5x \leq 1 \) on a real number line is
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While dividing inequalities by a negative number, always reverse the inequality sign.
COMEDK UGET - 2025
COMEDK UGET
Updated On:
May 6, 2026
A
B
C
D
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The Correct Option is
A
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Top Questions on linear inequalities
If \( AX = B \), where
\[ A = \begin{bmatrix} 1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1 \end{bmatrix}, \quad X = \begin{bmatrix} x \\ y \\ z \end{bmatrix}, \quad B = \begin{bmatrix} 4 \\ 0 \\ 2 \end{bmatrix}, \] then \( 2x + y - z \) is:
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\[ A = \begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & a & 1 \end{bmatrix} \]
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\[ A^{-1} = \frac{1}{2} \begin{bmatrix} 1 & -1 & 1 \\ -8 & 6 & 2c \\ 5 & -3 & 1 \end{bmatrix}, \]
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