Solve the System of Inequalities 12x+7<-11 ; AND , 5x-8>=40

Solution

12 x + 7 < - 11, 5 x - 8 \geq 40

[x < - \frac{3}{2} x \geq \frac{48}{5}] No Solution

Solution steps

[12 x + 7 < - 11 5 x - 8 \geq 40]

Isolate

x

for

12 x + 7 < - 11 : x < - \frac{3}{2}

Isolate

x

for

5 x - 8 \geq 40 : x \geq \frac{48}{5}

= [x < - \frac{3}{2} x \geq \frac{48}{5}]

1. Graph each inequality separately.2. Choose a test point to determine which side of the line needs to be shaded.

[x < - \frac{3}{2} x \geq \frac{48}{5}] No Solution

x, 3 (x - 2) + x - 1 = 5

80 x^{2}

(7 x)^{3}

1 x - 2 x

2 x^{2} - 3 x = 5