Question

Solve the system of inequalities: a) .4x−1≤0 2.3x≥4.6

Answer 1

Answer:

(a) $x \leq 2.5$

(b) $x \geq 2$

Step-by-step explanation:

Solving (a):

$0.4x - 1 \leq 0$

Add 1 to both sides

$0.4x - 1 + 1\leq 0 + 1$

$0.4x \leq 1$

Solve for x

$x \leq 1/0.4$

$x \leq 2.5$

Solving (b):

$2.3x \geq 4.6$

Solve for x

$x \geq 4.6/2.3$

$x \geq 2$