Question

Solve the following inequation and show the solution set on a number line −1 ≤ 2x + 4 < 5​

Answer 1

Answer:

-5/2 <= x < 1/2

Step-by-step explanation:

Given;

• −1 ≤ 2x + 4 < 5​

we can  split it  as

• 2x +4 <5      ..(1)
• and 2x +4 >= -1   ..(2)

On solving (1),

2x +4 < 5

2x < 5 - 4

2x < 1

x < 1/2

On solving (2),

2x + 4 >= -1

2x >= -1 -4

2x >= -5

x >= -5/2

so on combining both the solution we get,

-5/2 <= x < 1/2

= - 2.5 <= x < 0.5

NUMBER LINE;

*IN  ATTACHED FILE*

HOPE THE ANSWER WILL HELP YOU,

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GAUTHAM29