Question

Please help me with this question :)​

Answer 1

Answer: x ≥ -4/5

Step-by-step explanation:

Step 1: Subtract 9x from both sides.

• 4x + 4 - 9x ≤ 9x + 8 - 9x
• -5x + 4 ≤ 8

Step 2: Subtract 4 from both sides.

• -5x + 4 - 4 ≤ 8-4
• -5x ≤ 4

Step 3: Divide both sides by -5 and flip the sign.

• -5x/5 ≤ 4/(-5)
• x ≥ -4/5

Therefore, the answer is x ≥ -4/5.

Answer 2

Answer:

$\dashrightarrow \: { \tt{4x + 4 \leqslant 9x + 8}} \\ \\ \dashrightarrow \: { \tt{4x - 9x \leqslant 8 - 4}} \\ \\ \dashrightarrow \: { \tt{ - 5x \leqslant 4}}$

• divide either sides of the inequality by -5, also the sign will change:

$\dashrightarrow \: { \tt{x \geqslant - \frac{4}{5} }}$