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Answer 1 · 2017-12-30T13:10:53

Graph is available for the solution to the inequalities:

$y < 5 x - 4$ $color(red)(y < 5x-4)$

$y \leq - 2 x - 7$ $color(red)(y <= -2x-7)$

We are given the system of inequalities:

$y < 5 x - 4$ $color(green)(y < 5x-4)$

$y \leq - 2 x - 7$ $color(green)(y <= -2x-7)$

Refer to the graph below for the solution:

enter image source here

Refer to the inequality $y < 5 x - 4$ $color(green)(y < 5x-4)$

The inequality is already in Slope-Intercept Form

y-intercept $= - 4$ $= -4$

The dotted-line indicates that y is less than less than $3 x - 4$ $3x - 4$ ** but will not be equal to $3 x - 4$ $3x-4$

Refer to the inequality $y \leq - 2 x - 7$ $color(green)(y <= -2x-7)$

The inequality is already in Slope-Intercept Form

y-intercept $= - 7$ $= -7$

The solid-line indicates that $y$ $y$ is less than or equal to $- 2 x - 7$ $-2x-7$

Hope this helps.