Question

A) Which graph shows the solution of the inequality x+5≥2?

b) Which inequality has a solution of x<1 ?
A. x−2<−3
B. x+2<3
C. x−2≤−1
D. x−2<−3 and x−2≤−1
c) What is the solution of the inequality 4x>−12?
A. x>−3
B. x<−3
C. x>−48
D. x<−48
d) What is the solution of the inequality x/−7<14?
A. x>−2
B. x<−2
C. x>−98
D. x<–98

Answer 1

see explanation

Explanation:

a

given the inequality

x + 5 ≥ 2 ( subtract 5 from both sides )

x ≥ - 3

the graph of the solution will have

• a solid circle on the number line at x = - 3 ( indicating the = part )

• an arrow pointing right ( indicating values greater than > - 3 )

This information is represented on Graph A

(b)

The inequality with solution x < 1 is B

x + 2 < 3 ( subtract 2 from both sides )

x < 1 ← is the solution

(c)

4x > - 12 ( divide both sides by 4 )

x > - 3 → A

(d)

`(x)/(-7)` < 14

multiply both sides by - 7 ( to clear the fraction ) , reversing the symbol as a result of multiplying by a negative quantity.

x > - 98 → C