Which Inequality Has The Graph Shown Below

July 4, 2024, 8:47 pm

Draw a little man ⛷ on each line as if it were the side of a mountain. Combining more than one inequality. The y<5 can be rewritten as. Doing the same for any of the other equations will give the same effect and will allow you to work out unknown values a and b. Gradients of straight lines and curves. So 1, 2, 3, 4, 5, 6. Y=0x+5 So the slope is 0 (a horizontal line) that crosses the y axis at 5. ANSWERED] Write an inequality for the graph shown below ... - Math - Others. Oh, that should be an x there, negative 1/2 x minus 6.

Use The Graph To Solve The Inequality

So that's my y-intercept. The line underneath the greater than or less than sign means less than or equal to and greater than or equal to. If you watch the entire video, you will see toward the end that Sal changes the solid line into a dashed line since the 2nd example is for >. Graphical inequalities. Use the graph to solve the inequality. Fblpn, 5x-y >= 5 and y=5. So let's think about what this means. And that's enough to draw a line. This problem has been solved! To do this we must first convert the inequality by swapping the signs for equals.

Which Inequality Has The Graph Shown Below That Means

Then from this we will be left with a region that will not be shaded and this is the area with points that satisfy both of the stated inequalities. 5x-y+y >= 5+y The y-y = 0 and disappears. So let's say we have y is greater than negative x over 2 minus 6. Let's say you have an equation for an inequality, for instance y < 4x+3.

Which Inequality Is Represented By The Graph Shown Below

We can find the region by carrying out two steps: 1) Change the inequality to an equation (by changing 'more than' and 'less than' signs to equals) and then plot the line of this equation on a graph. And in general, you take any point x-- let's say you take this point x right there. Which inequality is represented on the graph. Why do you have to put an equal sign in place of the greater and less than signs? To put this into words we can say that the car must be driven for no more than 500 miles to keep the cost below £100. For your second question, you need to divide so you get an x on one side of the equation. There is no slope (coefficient of x) so you know this is a straight horizontal line at -3. You evaluate negative 1/2 or negative x over 2 minus 6, you're going to get this point over here.

Which Inequality Is Represented On The Graph

So let's say I had the inequality y is less than or equal to 4x plus 3. Plot the following inequalities and mark the region which satisfies both and. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. How can you tell what side you shade and which one not to shade I need help. 3 is the y-intercept. That's my best attempt at drawing the line. I hire a car which costs me £50 and then a further 10p for every mile that I cover. There is an invisible 1 in front of the x, so -x/2=-1x/2, then you can separate into two fractions, -1/2 *x/1, and dividing by 1 does not change anything, so you end up with -1/2 x. SOLVED: Which inequality has the graph shown below? y > x =2 Q v < Ix -2 O > < -4 -2 02 4 - 2. Compound inequalities. The gradient of a curve at a certain point is calculated by drawing a tangent at the point and finding the gradient of this line.

Learn how to graph two-variable linear inequalities like y≤4x+3. In an earlier lesson we looked at the gradients of linear equations such as. For example, if y = 3, than the equation would be -3x-3<=-1. This involves compromise and you will normally be asked what amounts of each unknown is possible to stick to a total. 3) exponential function. If I only have £100 to spend, write down the equality for the miles that I can cover. Which inequality has the graph shown below that means. At5:48, why is -x/2 the same thing as -1/2x? If the line is dashed, then the inequality is just >. So if we were to graph it, that is my vertical axis, that is my horizontal axis. If the line goes straight up, then the line's equation is in the form x =? When x is equal to 1, y is less than 7. I think the easiest way at least for me is to simply pick a coordinate from any side of the line.