Question

Which value is a solution to the inequality 13 – x ≤ –29?

A. –43
B. –17
C. 48
D. 41

Answer 1

Answer:

C

Step-by-step explanation:

given

13 - x ≤ - 29 ( subtract 13 from both sides )

- x  ≤ - 42 ( multiply both sides by - 1 )

Remembering to reverse the inequality symbol as a consequence of multiplying/dividing by a negative quantity

x ≥ 42 ← reverse symbol

The only value from the list that makes the inequality true is 48

Answer 2

48 is the solution to the inequality 13 – x ≤ –29.

How do determine whether a given value is the solution to an inequality?

We can determine that the given solution is true by substituting the value and seeing whether the inequality holds true on both LHS and RHS.

We can find the solution as shown below:

We have to substitute the value from the given options.

Substitute x = -43 in 13 – x ≤ –29,

⇒ 56 ≤ –29, This inequality is not true.

Substitute x = -17 in 13 – x ≤ –29,

⇒ 30 ≤ –29, This inequality is not true.

Substitute x = 48 in 13 – x ≤ –29,

⇒ -35 ≤ –29, This inequality is true.

Substitute x = 41 in 13 – x ≤ –29,

⇒ 28 ≤ –29, This inequality is not true.

Therefore, we have found that x = 48 is is a solution to the inequality 13 – x ≤ –29.

Learn more about inequalities here: https://brainly.com/question/24372553

#SPJ2