1. X-7>10
X>? ?=7
2. 3x less than or equal to 21
X less than or equal to ? ?=7
3. 5a-2<18
A<? ?=4 or 2/5
4. 2t+8 greater greater than or equal to -4(t+1)
T greater than or equal to ? ?=-2
Check please
1. To solve the inequality X - 7 > 10, you need to isolate the variable X.
First, you can start by adding 7 to both sides of the inequality: X - 7 + 7 > 10 + 7. This simplifies to X > 17. Therefore, X would be greater than 17.
2. To solve the inequality 3x ≤ 21, you want to find the range of values for x that satisfy the inequality.
To begin, you can divide both sides of the inequality by 3 to isolate the variable: 3x/3 ≤ 21/3. This simplifies to x ≤ 7. Therefore, x would be less than or equal to 7.
3. To solve the inequality 5a - 2 < 18, you need to isolate the variable a.
Begin by adding 2 to both sides of the inequality: 5a - 2 + 2 < 18 + 2. This simplifies to 5a < 20. Then, divide both sides of the inequality by 5: (5a)/5 < 20/5. This gives a < 4. Therefore, a would be less than 4.
Alternatively, you could have solved for a by setting up an equation: 5a - 2 = 18. Then, you would add 2 to both sides: 5a = 20. Divide both sides by 5: a = 4. Since the inequality is less than, you know a would be less than the value of 4.
4. In order to solve the inequality 2t + 8 ≥ -4(t + 1), you need to simplify the expression and isolate the variable t.
First, distribute the -4 to both t and 1: 2t + 8 ≥ -4t - 4. This simplifies to 2t + 8 ≥ -4t - 4.
Next, you can combine like terms by adding 4t to both sides: 2t + 4t + 8 ≥ -4t + 4t - 4. This simplifies to 6t + 8 ≥ 0.
Then, subtract 8 from both sides of the inequality: 6t + 8 - 8 ≥ 0 - 8. This gives 6t ≥ -8.
Finally, divide both sides of the inequality by 6 (since the coefficient of t is 6) to isolate the variable t: (6t)/6 ≥ (-8)/6. This simplifies to t ≥ -8/6, which can be further simplified to t ≥ -4/3.
Therefore, t is greater than or equal to -4/3.
1. x > 17
2. 3x ≤ 21
x ≤ 7
3. 5a < 20
a < 4
2t+8 ≥ -4t-4
6t ≥ -12
t ≥ -2