Question

Which linear inequality represent the solution set graph

Answer 1

When the sign is ≤ or ≥ ("less/greater than or equal to"), the line is a solid line.

When the sign is < or >, the line is a dotted line.

The inequality will be similar to the slope intercept form:

y = mx + b

"m" being the slope, "b" being the y-intercept(when x = 0)

Except there is no equal sign.

The slope(m) can be found by using the slope formula, or:

$slope = \frac{rise}{run}$

Rise is the number of units you go up or down, run is the number of units you go to the right.

Based on the graph, you go up 2 units, and to the right 5 units. Your slope is 2/5. When x = 0, y is -1, so your y-intercept is -1.

y ? 2/5x - 1

The shaded area is below the line, this means that "y" is less than the equation (2/5x - 1)

Your inequality is:

$y < \frac{2}{5}x - 1$