Solve the following system of equations in R.

$11 - 5 x > - 4, 4 x + 13 \leq - 11$

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Solution

Consider the first inequation,

11-5x>-4

-5x<-4-11

-5x>-15

5x<15

x<3 ...(i)

Consider the second inequation,

$4 x + 13 \leq - 11 4 x \leq - 11 - 13 4 x \leq - 24 x \leq - 6 . . . (i i)$

From (i) and (ii), $[- \infty, - 6]$ is the solution set of the simultaneous equations.

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Similar questions

Solve the following system of equations in R.

$2 x - 7 > 5 - x, 11 - 5 x \leq 1$

\frac{x}{3} + \frac{y}{4} = 11

\frac{5 x}{6} - \frac{y}{3} = - 7

3 x - 4 y - 11 = 0

5 x - 7 y + 4 = 0

3 x - 4 y - 11 = 0, 5 x - 7 y + 4 = 0

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