Solve for w
w>8
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82<43w-172-90
Use the distributive property to multiply 43 by w-4.
82<43w-262
Subtract 90 from -172 to get -262.
43w-262>82
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
43w>82+262
Add 262 to both sides.
43w>344
Add 82 and 262 to get 344.
w>\frac{344}{43}
Divide both sides by 43. Since 43 is positive, the inequality direction remains the same.
w>8
Divide 344 by 43 to get 8.
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