Practice30 Create account

The solution of the inequality $3 x - 7 < 5 + x$ , where $x$ is a real number, is:

Competition practiceAlgebra

A $x < 6$
B $x > 6$
C $x < 3$
D $x$ ≤ 6

Step-by-Step Solution

Bring the

x

terms to one side:

3 x - x < 5 + 7

, so

2 x < 12

and

x

< 6. (At

x = 5

: 8 < 10 is true; at

x = 7

: 14 < 12 is false.)

Answer: A)

x < 6

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Algebra practice questions

More Algebra practice

If 4 − 3x ≥ 19, then the real values of x are described by:How many integers x satisfy −5 < 2x + 1 ≤ 7?A student scored 84, 78 and 72 in three tests. The least score needed in a fourth test…The solution set of 2(x − 1) ≥ 3x − 5, where x is a natural number, is:The equation |2x − 5| = 9 has two roots. How far apart are they on the number line?