Question

Identify the graph of the inequality 2(2x-1)+7<13 or-2x + 5≤-10.

Answer 1

Answer:

Step-by-step explanation:

2

(

2

x

−

1

)

+

7

<

13

Expand LHS

→

4

x

−

2

+

7

<

13

4

x

+

5

<

13

4

x

<

13

−

5

4

x

<

8

Divide through by

4

→

x

<

2

x

<

2

is represented on the real line by the interval

(

−

∞

,

2

)

This can be represented on the

x

y

−

plane by the area to the left of the vertical line

x

=

2

as graph below.

graph{2(2x-1)+7<13 [-10, 10, -5, 5]}