Question

PLZZ I NEED HELP

Solve the inequality. Explain all steps and identify the properties used.
3a−4≤5

Answer 1

a < 3

Step-by-step explanation:

To solve this inequality, I used distributive property:

3a - 4 < 5

3a - 4 + 4 < 5 + 4

3a < 9

(1/3) 3a < 9 (1/3)

a < 3

Answer 2

Answer:
`a \le 3`

'a' can be any number less than 3, or 'a' can be equal to 3.

===============================================

Step-by-step explanation:

We follow the order of operations PEMDAS in reverse when we want to isolate a variable. So we start with the subtraction step and undo that. To undo subtraction, we use addition. This is why we add 4 to both sides as shown in step 2 below. This rule is the additive property of inequality. The next thing to undo is the multiplication. Recall that 3a is the same as 3*a or "3 times a". Division is the opposite of multiplication, so we divide both sides by 3 in step 4. The division property of inequality is used here.

Here are all the steps shown

• step 1:
  `3a-4 \le 5`
• step 2:
  `3a-4+4 \le 5+4` (additive property of inequality)
• step 3:
  `3a \le 9`
• step 4:
  `(3a)/(3) \le (9)/(3)` (division property of inequality)
• step 5:
  `a \le 3`