Graph x<4 y>1 y>=-x+1

$x < 4$ $y > 1$ $y \geq - x + 1$

Step 1

Graph $x < 4$ .

$x < 4$

Step 2

Graph $y > 1$ .

$y > 1$

Step 3

Graph $y \geq - x + 1$ .

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 1$

$b = 1$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- 1$

y-intercept: $(0, 1)$

Slope: $- 1$

y-intercept: $(0, 1)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- x + 1$ .

$y \geq - x + 1$

Step 4

Plot each graph on the same coordinate system.

$x < 4$

$y > 1$

$y \geq - x + 1$

Step 5