Question

Algebra unit 4 lesson 4 Solving Multi Step Inequalities

2. X - 7 > 10

3. 3X _< 21

4. 5A - 2 < 18

5. 2t + 8 _> -4 (t+1)

Answer 1

2. X>17 that is the only answer I know right away, sorry

Answer 2

2. x > 17

3. x ≤ 7

4. a < 4

5. t ≥ -2

Explanation:

2). x - 7 > 10

Now we add 7 on both the side of the inequality [Both the side of sign (>) greater than].

x - 7 + 7 > 10 + 7

x > 17

Answer is x > 17

3). 3x ≤ 21

Now we divide by 3 on both the sides of the inequality.

`(3x)/(3)` ≤
`(21)/(3)`

x ≤ 7

Answer is x ≤ 7

4) 5a - 2 < 18

(5a -2) + 2 < 18 + 2

5a < 20

`(5a)/(5)<(20)/(5)`

a < 4

Answer is a < 4

5). 2t + 8 ≥ -4(t + 1)

2t + 8 ≥ -4t - 4

2t + 8 - 8 ≥ -4t - 4 - 8

2t ≥ -4t - 12

2t + 4t ≥ -4t + 4t - 12

6t ≥ -12

t ≥ -
`(12)/(6)`

t ≥ -2

Answer is t ≥ -2