Question

On a coordinate plane, a solid straight line has a negative slope and goes through (negative 2, 2) and (2, negative 8). Everything above and to the right of the line is shaded. The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.
Which linear equality will not have a shared solution set with the graphed linear inequality?

y > Two-fifthsx + 2
y < Negative five-halvesx – 7
y > Negative two-fifthsx – 5
y < Five-halvesx + 2

Answer 1

The linear inequality  $y \leq 5/2(x + 2)$ will not have a shared solution set with the graphed linear inequality. the correct option is D.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).

m = (-8 -2)/ (2 +2)

m = -10/ 4

m = -5/2

The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.

$y \geq -5/2 (x-3)$

The linear inequality  $y \leq 5/2(x + 2)$ will not have a shared solution set with the graphed linear inequality.

Thus, the correct option is D.

Learn more about inequality ;

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