x / 6 ≤ 1
Solving linear inequalities follow the same rules as solving equations except for one rule change:
You can add/subtract the same number to both sides and it doesn't change the sign.
You can multiply/divide the same positive number to both sides and it doesn't change the sign.
You can multiply/divide the same negative number to both sides and you HAVE to change the sign.
Here, you multiply both sides by 6, which is positive, so the sign doesn't change. So you get:
x ≤ 6
x/6 ≤ 1
multiply sides by 6
▬▬▬
type Alt and 243 together for ≤
x/6 </= 1
==> x </= 6
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Answers & Comments
x / 6 ≤ 1
Solving linear inequalities follow the same rules as solving equations except for one rule change:
You can add/subtract the same number to both sides and it doesn't change the sign.
You can multiply/divide the same positive number to both sides and it doesn't change the sign.
You can multiply/divide the same negative number to both sides and you HAVE to change the sign.
Here, you multiply both sides by 6, which is positive, so the sign doesn't change. So you get:
x / 6 ≤ 1
x ≤ 6
x/6 ≤ 1
multiply sides by 6
x ≤ 6
▬▬▬
type Alt and 243 together for ≤
x/6 </= 1
==> x </= 6