Question

Help Please?? :)
Solve for x.

9 ≤ 17 − 4x

Answer 1

9
≤
17
−
4
x
Step 1: Simplify both sides of the inequality.
9
≤
−
4
x
+
17
Step 2: Flip the equation.
−
4
x
+
17
≥
9
Step 3: Subtract 17 from both sides.
−
4
x
+
17
−
17
≥
9
−
17
−
4
x
≥
−
8
Step 4: Divide both sides by -4.
−
4
x
−
4
≥
−
8
−
4


x ≤ 2 <- the answer should be this

Answer 2

[ 2, ∞)

Explanation:

Given inequality,

`9\leq 17-4x`

Adding 4x on the both sides of inequality ( by the additive property of inequality )

`9 + 4x \leq 17`

Subtract both sides by 9 ( by subtraction property of inequality ),

`4x\leq 8`

Since, 4 > 0, thus, after dividing both sides of inequality the sign will not change,

`x\leq 2`

⇒ x ∈ [ 2, ∞)