👤
Answered

thrice the sum of thrice a number and -7 is less than or equal to 6. find the solution of the inequality with solution​

Sagot :

Smartboardgo

MATH

Mathematical Inequalities

Thrice the sum of thrice a number and -7 is less than or equal to 6. Find the solution of the inequality with solution.

Solution:

Let x = unknown number

[tex]3[3x + ( - 7)] \leqslant 6 \\ \\ 9x + ( - 21) \leqslant 6 \\ \\ 9x \leqslant 27 \\ \\ x \leqslant 3[/tex]

Answer:

x ≤ 3

Sheyssssssssssgo

The statement 'Thrice the sum of thrice a number and -7 is less than or equal to 6' can be written as an inequality as

3[3x + (–7)] ≤ 6

Solving for x:

[tex]3[3x + (–7)]≤ 6[/tex]

[tex]9x - 21 ≤ 6[/tex]

[tex]9x - 21 + 21 ≤ 6 + 21[/tex]

[tex]9x ≤ 27[/tex]

[tex] \frac{9x}{9} < \frac{27}{9} [/tex]

[tex]x ≤ 3[/tex]

Answer:

x ≤ 3

Go Training: Other Questions