Question

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

Answer 1

(a)
`x \leq 2.5`

(b)
`x \geq 2`

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`