I really don't understand this stuff for example: 9b-3b+34<2b-10

and
7a+3=24

letters represent variables so they can be anything really. Once you understand this step then the rest of the problem can start to make sense. Inequalities tell you whether something is greater/lessthan/equal. So lets say with 7a+3=24 both sides must be equal. So lets simplify by subtracting 3 from both sides. Which would get us 7a=21. We can then divide both by 7, and get a=3. To check if our answer is right we plug in 3 for a in the original equation 7(3)+3=24, which makes 21+3=24, which is finally 24=24, both sides are equal. If this is your first time using inequalities a good lesson to learn is that because both sides are equal then anything we do to one side we have to do to the other.(like when I subtracted 3). Now the other example the first step we should take is to simplify it. If we have 9b-3b we can change that to 6b. so we will get 6b+34<2b-10. We can work this out the same way, if we subtract 34 from both sides we get 6b<2b-44. We then subtract 2b and get 4b<-44, then finally we can divide by 4 to make it look nicer, b<-11. A good way to remember what the "<", I use the alligator eats the bigger number, so 3<4 , you can imagine the jaws lol.(Three is greater than four). Another important thing about inequalities is when you divide or multiply by a negative you change the sign so x>3 divided by -1, would give you -x<-3

5,0000mkh2<5-7+98x

To solve the inequality 9b-3b+34<2b-10, we can start by simplifying both sides. We combine like terms on the left side by subtracting 3b from 9b, resulting in 6b. So the inequality becomes 6b+34<2b-10.

Next, we want to isolate the variable b on one side of the inequality. To do this, we can subtract 2b from both sides, which gives us 4b+34<-10.

To further isolate b, we can subtract 34 from both sides, resulting in 4b<-44.

Lastly, we divide both sides of the inequality by 4 to solve for b. Remember that when dividing or multiplying by a negative number, we need to reverse the inequality sign. So, in this case, we have b<-11 as the solution.

Similarly, for the equation 7a+3=24, we want to isolate the variable a. We can start by subtracting 3 from both sides of the equation, giving us 7a=21.

To solve for a, we can divide both sides by 7, resulting in a=3 as the solution.

To check the accuracy of our solutions, we can substitute the values we found back into the original expressions. For example, plugging in a=3 into the equation 7a+3=24, we have 7(3)+3=24, which simplifies to 21+3=24, confirming that both sides are equal.

In summary, when solving equations and inequalities with variables, it's important to simplify, isolate the variable, and perform the same operations on both sides of the equation or inequality while considering the properties of inequalities (such as reversing the inequality sign when multiplying or dividing by a negative number).