Question

Solve the following inequality.Answer in terms of an improper fraction.

3y + 5 < 10

Answer 1

What part of this problem do you have trouble understanding? I mean, is it solving for a variable, the inequality, or the improper fraction that's tripping you up? From personal experience, I'd guess that it's the inequality, but you never know; so here's a quick(ish) explanation of each of the three.
SOLVING FOR Y: focus on the side of the equation with the variable you're solving for (if it's on both sides, rewrite it so that they're all on one side). Do the opposite of what's happening to the variable (i.e., if it's being increased by 5, like it is here, subtract 5). Do this in the order of added/subtracted numbers, then numbers multiplying/dividing the variable, then deal with exponents /roots. To keep both sides equal, you perform whatever action you take on the variable's half to the other half as well. THIS RULE STILL APPLIES WITH INEQUALITIES, like when you see greater than or less than signs instead of equal signs.
DEALING WITH INEQUALITIES: Treat inequalities like they're equal signs when solving algebraically, with the exception that when you multiply/divide by a negative number, the sign flips (so a less-than sign would become a greater-than sign). Because you have to watch the way the sign is facing, it's best not to switch around what part of the equation is on what side (like how you might change 4+5=9 to 9=4+5 when dealing with equal equations.) And lastly,
IMPROPER FRACTIONS: All it's telling you to do is leave the answer looking a bit strange- don't divide it into a decimal, and don't change it to a whole number with a fraction (a proper fraction). An improper fraction will have a larger number in the numerator (top) than in the denominator (the bottom of the fraction). So, to give an example, if your answer came out as 19/5, you'd leave it as 19/5, even though it looks nicer as 3.8 or 3_4/5.
Whew! That was long! But hopefully that answered any trouble you had solving this type of equation.