Question

Solve inequality -8x+4≤36.

Answer 1

Question :

• Solve inequality -8x + 4 ≤ 36

Solution :

⇒ -8x + 4 ≤ 36

⇒ -8x ≤ 36 - 4

⇒ -8x ≤ 32

⇒ -x ≤ 32 / 8

⇒ -x ≤ 16 / 4

⇒ -x ≤ 8 / 2

⇒ -x ≤ 4

⇒ x ≥ -4

Answer 2

$\bf{-8x+4\leq 36 }$

Subtract 4 from both sides.

$\bf{-8x\leq 36-4 }$

Subtract 4 from 36 to get 32.

$\bf{-8x\leq 32 }$

Divide both sides by −8. Since −8 is <0, the inequality direction is changed.

$\bf{x\geq \dfrac{32}{-8} }$

Divide 32 by −8 to get −4.

$\bf{x\geq -4 \ \ \Rightarrow \ \ \ Answer }$

{ Pisces04 }