Please solve and show work! Thanks!

suppose x>-1. Simplify lx + 2l + lx + 5l

Please note that lxl the l part is absolute value
Please solve for the inequality of x

Will give 5 star ratings and thanks along with brainleist (brainleist too best answer)

2x + 7

Step-by-step explanation:

For x > -1,

x + 2 is positive

So, |x + 2| = x + 2

For x > -1,

x + 5 is positive

So, |x + 5| = x + 5

lx + 2l + lx + 5l = x + 2 + x + 5

= 2x + 7

Additional (in case range is also required)

lx + 2l

x > -1

lx + 2l > 1

lx + 5l

x > -1

lx + 5l > 4

lx + 2l + lx + 5l > 1 + 4

lx + 2l + lx + 5l > 5

2x+7  when x>-1

Step-by-step explanation:

lx + 2l + lx + 5l

We know that x > -1

Let x be -1  the minimum value

lx + 2l = l-1 + 2l = l1l  so it will always be greater than 0

We can remove the absolute value signs

Let x be -1  the minimum value

lx + 5l = l-1 + 5l = l4l  so it will always be greater than 0

We can remove the absolute value signs

x + 2+ x + 5  when x>-1

2x+7

The answer is A
Explanation
AD and BD are congruent
Angle CDA is congruent to Angle CDB because it is supplementary to Angle CDA.
The Reflexive property shows CD is congruent to CD

This makes 2 pairs of congruent sides and a pit of congruent angles SAS

(Side Angle Side)