Answer:
No solution
Step-by-step explanation:
Solve each inequality separately
[tex]10 \geq 7 + 3x[/tex]
Subtract 7 from both sides
[tex]3 \geq 3x[/tex]
Divide both sides by 3
[tex]1\geq x[/tex]
[tex]x\leq 1[/tex]
Now solve the second inequality
[tex]9-4x \leq 1[/tex]
Subtract 9 from both sides
[tex]-4x \leq -8[/tex]
Divide both sides by -4. when we divide by negative number then reverse the inequality sign.
[tex]x\geq 2[/tex]
[tex]x\leq 1[/tex] and [tex]x\geq 2[/tex]
There is no intersection of both inequalities
So , No solution
