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)

2. x > 17

3. x ≤ 7

4. a < 4

5. t ≥ -2

Step-by-step 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.

≤

x ≤ 7

Answer is x ≤ 7

4) 5a - 2 < 18

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

5a < 20

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 ≥ -

t ≥ -2

Answer is t ≥ -2

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step-by-step explanation:

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step-by-step explanaction: