If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5
It is a set of three expressions , two variable and one constant. There are no operations defined for them, not any symbols of equality or inequality.
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yes
You draw the graph of the straight line x + 2y = 5.Evaluate the inequality at the origin: 0 + 2*0 > 5 or 0>5. This is not true so the part of the plane NOT containing the origin (above and to the right of the line) is the valid region.Also, since it is a strict equality, the line itself is not part of the valid region.
graph the inequality 5x+2y<4
If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5
3s=2t can also be written as 3y=2x or 3x=2y. Either way, it is linear. To find out if it is linear, simply graph it. If you can draw a completely vertical line through any point of the graph without intersecting more than one point of the graph, then it is linear. This equation (3s=2t), it is linear.
if 2y-x=4, than y=1/2*x+2 we can now see that the graph is linear with slope 1/2 and goes through point (0,2)
Not quite sure of the direction of the argument required.Any inequality can be made into an equality by using an auxiliary variable. For example,x + 2y < 3 is equivalent to x + 2y - a = 3 where a is some positive variable. [This method is used in linear programming.]Conversely, any equality can be written as a combination of two inequalities. For example,x + 2y = 3 is the same asx + 2y ≤ 3 and x + 2y ≥ 3
The question contains a linear expression in two variables. It is not an equation (nor inequality) and so cannot be solved. Furthermore, with two variables, you need two linear equations.
The inequality is: x+2y > 4
That's a linear equation. The graph of it is a straight line with a slope of -1/2 and a y-intercept at y=1 .
Actually, a linear inequality, such as y > 2x - 1, -3x + 2y < 9, or y > 2 is shaded, not a linear equation.The shaded region on the graph implies that any number in the shaded region is a solution to the inequality. For example when graphing y > 2, all values greater than 2 are solutions to the inequality; therefore, the area above the broken line at y>2 is shaded. Note that when graphing ">" or "=" or "
The y-intercept of the graph of 4x + 2y =12 is probably 6
It is a linear expression. Since it is neither an equation, nor an inequality, it cannot be solved. Also, since the values of x and y are unknown, it cannot be evaluated.
Yes, 2y = 8 is a linear function. 2y = 8 is the same as y=8/2, or y=4, which is a vertical line.