posted by Carolyn

x - 7 > 10
x > __

3x < 20 (underscore under the less / greater than sign)
x < __

5a - 2 < 8
a < __

2t + 8 > 4(t + 1) (underscore under the less/greater than sign)
t > __

1. Steve

I assume you want to solve these inequalities. Just do them the way you would work with equations.

x - 7 > 10
x > 17

3x <= 20
divide by 3:
x <= 20/3

5a - 2 < 8
add 2, then divide by 5:
5a < 10
a < 2

2t + 8 >= 4(t + 1)
2t + 8 >= 4t + 4
subtract 4 and subtract 2t:
4 >= 2t
2 >= t
or, t <= 2

2. Reiny

If you know how to solve equations, you should have no trouble solving inequations.
Just pretend you have an equal sign and use the same steps.
The only exception is: When you multiply or divide both sides by a negative number, you must also reverse the inequality sign

I will do the last one to illustrate

2t + 8 ≥ 4(t + 1)
2t + 8 ≥ 4t + 4 , same as you would for equation
2t -4t ≥ 4 - 8 , same as you would for equation
-2t ≥ -4, still the same steps , BUT NOW:
I have to divide by -2, so do the arithmetic for that
but, I have to reverse the inequality sign

t ≤ 2

check my answer by taking a value of x below 2, then another above 2 in the original inequation.
notice at t = 2, the left side equals the right side

you do the others the same way

3. Carolyn

Thank you both so much! This helps a lot :)

Similar Questions

1. math

what is the rule for greater than less than sign. The greater than sign, > , means that whatever is to the left of it is greater than what is to the right of the sign. The less than sign, < , is just the opposite. Whatever is …
2. Algebra 2

would some one please check these for me 1. divide x^2-36y^2 over 5x^2+30y divide (x^2-6xy) A: x+6y over (5x)(x^2+6y) 2. Add. Express your answer in simplest form. 2x 0ver x^2+15x+54 + 4over x+6 A: 6 over x+9 3. solve: (9 over x-5) …
3. algebra

Graph the system of inequalities x (lesser or equal to sign)2 y (greater or equal to sign)-2x+4 I am having trouble understanding what points to plot on the graph and also how the graph should be shaded (if at all).
4. Math 116 algebra please check

Solve 0.3x + 8 < 1.1x-9 The solution is x > 85/7 The problem with the greater than sign has a line under it but I can get it to work correctly from my word document
5. Algebra

I'm having trouble with inequalities. Basically my problem is about which way the sign goes. Here's an example.. X(X+1)>2 so then it becomes X^2 + X>2 Correct?

7. Algebra

Hi. I have an answer for this and just need to confirm it. 2x+5(less than or equal to sign here)x + 6. I minused the x's on both sides of the greater then equal to sign; x +5 (greater then or equal to sign) = 6; x +5-5 (the sign here) …
8. algebra check + help please?

How do I solve this? -90>( with an line under that sign) 4T I think you flip the sign or something?