Question

5f+3(−8f−9)≤ −8f−1−4

Answer 1

f
`\geq` -2

Explanation:

5f + 3 (−8f − 9) ≤ −8f −1 −4

=5f -24f -27 ≤ -8f -1 -4

= -19f -27 ≤ -8f -5

=-11f ≤ 22

= f
`\geq` -2

Answer 2

f ≥ -2

Explanation:

See steps below:

• 5f+3(−8f−9) ≤ −8f−1−4 ⇒ open the parenthesis
• 5f - 24f - 27 ≤ - 8f -5 ⇒ simplify
• - 19f ≤ - 8f - 5 + 27 ⇒ add 27 to both sides
• -19f + 8f ≤ 22 ⇒ add 8f to both sides
• -11f ≤ 22
• f ≥ -22/11 ⇒ divide both sides by -11, dividing by negative changes the inequality sign to opposite
• f ≥ -2 ⇒ answer