Advertisements
Advertisements
Question
Find the graphical solution of the following system of linear inequations:
`"x"/60 + "y"/90 ≤ 1`, `"x"/120 + "y"/75 ≤ 1`, y ≥ 0, x ≥ 0
Advertisements
Solution
Consider the equations:
`"x"/60 + "y"/90 ≤ 1`
| x | 60 | 0 |
| y | 0 | 90 |
The two points on the axes are (60, 0) and (0, 90) as in equation 60 and 90 are x and y-intercepts,
(x and y are equivalent to X and Y axes.)
∵ The inequation `"x"/60 + "y"/90 ≤ 1` satisfies the origin.
The solution set is towards the origin.
`"x"/120 + "y"/75 ≤ 1`
| x | 120 | 0 |
| y | 0 | 75 |
The two points on the axes are (120, 0) and (0, 75) respectively.
The inequation `"x"/120 + "y"/75 ≤ 1` satisfies the origin.
The solution set of the inequation is towards origin x ≥ 0, y ≥0 are the inequations showing the conditions that the solutions set (common region) is in the first quadrant
APPEARS IN
RELATED QUESTIONS
Solve the following system of inequalities graphically: 3x + 2y ≤ 12, x ≥ 1, y ≥ 2
Solve the following system of inequalities graphically: 2x + y≥ 6, 3x + 4y ≤ 12
Solve the following system of inequalities graphically: x + y≥ 4, 2x – y > 0
Solve the following system of inequalities graphically: x – 2y ≤ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1
Find all pairs of consecutive odd natural number, both of which are larger than 10, such that their sum is less than 40.
The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 7.2 and 7.8. If the first two pH reading are 7.48 and 7.85, find the range of pH value for the third reading that will result in the acidity level being normal.
Write the set of values of x satisfying |x − 1| ≤ 3 and |x − 1| ≥ 1.
Write the solution set of the inequation \[\left| \frac{1}{x} - 2 \right| > 4\]
Write the solution set of the inequation |x − 1| ≥ |x − 3|.
Solve each of the following system of equations in R.
\[5x - 7 < 3\left( x + 3 \right), 1 - \frac{3x}{2} \geq x - 4\]
Find the graphical solution of the following system of linear inequations:
x – y ≤ 0, 2x – y ≥ − 2
Find the graphical solution of the following system of linear inequations:
2x + 3y ≥ 12, – x + y ≤ 3, x ≤ 4, y ≥ 3
Solve the following system of inequalities graphically.
3x + 2y ≤ 12, x ≥ 1, y ≥ 2
Solve the following system of inequalities graphically.
2x – y ≥ 1, x – 2y ≤ – 1
Find the linear inequalities for which the shaded region in the given figure is the solution set.
Find the linear inequalities for which the shaded region in the given figure is the solution set.
Show that the following system of linear inequalities has no solution x + 2y ≤ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1
Solution set of x ≥ 0 and y ≤ 1 is
